Search a number
-
+
211421333430 = 23256740138737
BaseRepresentation
bin1100010011100110110…
…0011000011110110110
3202012201022112112112200
43010321230120132312
511430442330132210
6241043044525330
721163134453126
oct3047154303666
9665638475480
10211421333430
118173291603a
1234b846b0846
1316c24617438
14a338d0ac86
155775edd0c0
hex3139b187b6

211421333430 has 96 divisors (see below), whose sum is σ = 558102770784. Its totient is φ = 55517349888.

The previous prime is 211421333371. The next prime is 211421333437. The reversal of 211421333430 is 34333124112.

It is a happy number.

211421333430 is a `hidden beast` number, since 2 + 1 + 14 + 213 + 3 + 3 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 211421333394 and 211421333403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211421333437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24194022 + ... + 24202758.

It is an arithmetic number, because the mean of its divisors is an integer number (5813570529).

Almost surely, 2211421333430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211421333430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279051385392).

211421333430 is an abundant number, since it is smaller than the sum of its proper divisors (346681437354).

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

211421333430 is a wasteful number, since it uses less digits than its factorization.

211421333430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12830 (or 12827 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 211421333430 its reverse (34333124112), we get a palindrome (245754457542).

The spelling of 211421333430 in words is "two hundred eleven billion, four hundred twenty-one million, three hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 2010 3015 4013 6030 8026 8737 12039 17474 20065 24078 26211 36117 40130 43685 52422 60195 72234 78633 87370 120390 131055 157266 180585 262110 268871 361170 393165 537742 585379 786330 806613 1170758 1344355 1613226 1756137 2419839 2688710 2926895 3512274 4033065 4839678 5268411 5853790 8066130 8780685 10536822 12099195 17561370 24198390 26342055 35061581 52684110 70123162 105184743 175307905 210369486 315554229 350615810 525923715 631108458 1051847430 1577771145 2349125927 3155542290 4698251854 7047377781 11745629635 14094755562 21142133343 23491259270 35236888905 42284266686 70473777810 105710666715 211421333430