Search a number
-
+
212211330120 = 23325923963803
BaseRepresentation
bin1100010110100011000…
…1111110110001001000
3202021202101001112021100
43011220301332301020
511434102100030440
6241253305141400
721221536354356
oct3055061766110
9667671045240
10212211330120
1181aa8844269
123516518a860
131701c1a70ba
14a3b1bd07d6
1557c053b230
hex3168c7ec48

212211330120 has 96 divisors (see below), whose sum is σ = 689772283200. Its totient is φ = 56582676096.

The previous prime is 212211330109. The next prime is 212211330127. The reversal of 212211330120 is 21033112212.

212211330120 is a `hidden beast` number, since 2 + 1 + 2 + 211 + 330 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212211330093 and 212211330102.

It is not an unprimeable number, because it can be changed into a prime (212211330127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3294139 + ... + 3357941.

It is an arithmetic number, because the mean of its divisors is an integer number (7185127950).

Almost surely, 2212211330120 is an apocalyptic number.

212211330120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211330120 is an abundant number, since it is smaller than the sum of its proper divisors (477560953080).

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

212211330120 is a wasteful number, since it uses less digits than its factorization.

212211330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73059 (or 73052 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212211330120 its reverse (21033112212), we get a palindrome (233244442332).

The spelling of 212211330120 in words is "two hundred twelve billion, two hundred eleven million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9239 18478 27717 36956 46195 55434 63803 73912 83151 92390 110868 127606 138585 166302 184780 191409 221736 255212 277170 319015 332604 369560 382818 415755 510424 554340 574227 638030 665208 765636 831510 957045 1108680 1148454 1276060 1531272 1663020 1914090 2296908 2552120 2871135 3326040 3828180 4593816 5742270 7656360 11484540 22969080 589475917 1178951834 1768427751 2357903668 2947379585 3536855502 4715807336 5305283253 5894759170 7073711004 8842138755 10610566506 11789518340 14147422008 17684277510 21221133012 23579036680 26526416265 35368555020 42442266024 53052832530 70737110040 106105665060 212211330120