Search a number
-
+
232010103210 = 235173726945707
BaseRepresentation
bin1101100000010011100…
…0010011100110101010
3211011212011221102002120
43120010320103212222
512300124041300320
6254330045412110
722522266224034
oct3300470234652
9734764842076
10232010103210
118a438722556
1238b6b86a036
1318b55c88152
14b32d494c54
15607d7a9440
hex3604e139aa

232010103210 has 128 divisors (see below), whose sum is σ = 607777447680. Its totient is φ = 56444350464.

The previous prime is 232010103203. The next prime is 232010103217. The reversal of 232010103210 is 12301010232.

It is an interprime number because it is at equal distance from previous prime (232010103203) and next prime (232010103217).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 232010103210.

It is not an unprimeable number, because it can be changed into a prime (232010103217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5053177 + ... + 5098883.

It is an arithmetic number, because the mean of its divisors is an integer number (4748261310).

Almost surely, 2232010103210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232010103210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303888723840).

232010103210 is an abundant number, since it is smaller than the sum of its proper divisors (375767344470).

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

232010103210 is a wasteful number, since it uses less digits than its factorization.

232010103210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46040.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 232010103210 its reverse (12301010232), we get a palindrome (244311113442).

The spelling of 232010103210 in words is "two hundred thirty-two billion, ten million, one hundred three thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 170 185 222 255 269 370 510 538 555 629 807 1110 1258 1345 1614 1887 2690 3145 3774 4035 4573 6290 8070 9146 9435 9953 13719 18870 19906 22865 27438 29859 45707 45730 49765 59718 68595 91414 99530 137121 137190 149295 169201 228535 274242 298590 338402 457070 507603 685605 777019 846005 1015206 1371210 1554038 1691159 1692010 2331057 2538015 3382318 3885095 4662114 5073477 5076030 7770190 8455795 10146954 11655285 12295183 16911590 23310570 24590366 25367385 28749703 36885549 50734770 57499406 61475915 73771098 86249109 122951830 143748515 172498218 184427745 209018111 287497030 368855490 418036222 431245545 454921771 627054333 862491090 909843542 1045090555 1254108666 1364765313 2090181110 2274608855 2729530626 3135271665 4549217710 6270543330 6823826565 7733670107 13647653130 15467340214 23201010321 38668350535 46402020642 77336701070 116005051605 232010103210