Search a number
-
+
211321022142330 = 234515112171419679
BaseRepresentation
bin110000000011001000000010…
…011101010101011101111010
31000201020002111101002020120000
4300003020002131111131322
5210144240423132023310
62025235312023413430
762340303632632302
oct6003100235253572
91021202441066500
10211321022142330
1161373818965201
121b84b51a8b4276
1390bb6438a9bb9
143a27dc6256602
151966e2877a4c0
hexc0320275577a

211321022142330 has 160 divisors (see below), whose sum is σ = 572452182973440. Its totient is φ = 55933041715200.

The previous prime is 211321022142323. The next prime is 211321022142397. The reversal of 211321022142330 is 33241220123112.

211321022142330 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 2 + 10 + 221 + 423 + 3 + 0 = 666.

It is a super-2 number, since 2×2113210221423302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 211321022142294 and 211321022142303.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 148141431 + ... + 149561109.

It is an arithmetic number, because the mean of its divisors is an integer number (3577826143584).

Almost surely, 2211321022142330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211321022142330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286226091486720).

211321022142330 is an abundant number, since it is smaller than the sum of its proper divisors (361131160831110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211321022142330 is a wasteful number, since it uses less digits than its factorization.

211321022142330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1421066 (or 1421057 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 211321022142330 its reverse (33241220123112), we get a palindrome (244562242265442).

The spelling of 211321022142330 in words is "two hundred eleven trillion, three hundred twenty-one billion, twenty-two million, one hundred forty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 151 162 270 302 405 453 755 810 906 1217 1359 1510 2265 2434 2718 3651 4077 4530 6085 6795 7302 8154 10953 12170 12231 13590 18255 20385 21906 24462 32859 36510 40770 54765 61155 65718 98577 109530 122310 164295 183767 197154 328590 367534 492885 551301 918835 985770 1102602 1419679 1653903 1837670 2756505 2839358 3307806 4259037 4961709 5513010 7098395 8269515 8518074 9923418 12777111 14196790 14885127 16539030 21295185 24808545 25554222 29770254 38331333 42590370 49617090 63885555 74425635 76662666 114993999 127771110 148851270 191656665 214371529 229987998 383313330 428743058 574969995 643114587 1071857645 1149939990 1286229174 1727749343 1929343761 2143715290 3215572935 3455498686 3858687522 5183248029 5788031283 6431145870 8638746715 9646718805 10366496058 11576062566 15549744087 17277493430 17364093849 19293437610 25916240145 28940156415 31099488174 34728187698 46649232261 51832480290 57880312830 77748720435 86820469245 93298464522 139947696783 155497440870 173640938490 233246161305 260890150793 279895393566 466492322610 521780301586 699738483915 782670452379 1304450753965 1399476967830 1565340904758 2348011357137 2608901507930 3913352261895 4696022714274 7044034071411 7826704523790 11740056785685 14088068142822 21132102214233 23480113571370 35220170357055 42264204428466 70440340714110 105660511071165 211321022142330