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232010033034 = 2313173149911311
BaseRepresentation
bin1101100000010011100…
…0000010011110001010
3211011212011210211211110
43120010320002132022
512300124032024114
6254330044111150
722522265512323
oct3300470023612
9734764724743
10232010033034
118a43868485a
1238b6b8354b6
1318b55c62220
14b32d47744a
15607d793759
hex3604e0278a

232010033034 has 128 divisors (see below), whose sum is σ = 547319808000. Its totient is φ = 64885017600.

The previous prime is 232010033033. The next prime is 232010033041. The reversal of 232010033034 is 430330010232.

It is a self number, because there is not a number n which added to its sum of digits gives 232010033034.

It is not an unprimeable number, because it can be changed into a prime (232010033033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20506239 + ... + 20517549.

It is an arithmetic number, because the mean of its divisors is an integer number (4275936000).

Almost surely, 2232010033034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232010033034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273659904000).

232010033034 is an abundant number, since it is smaller than the sum of its proper divisors (315309774966).

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

232010033034 is a wasteful number, since it uses less digits than its factorization.

232010033034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11876.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 232010033034 its reverse (430330010232), we get a palindrome (662340043266).

The spelling of 232010033034 in words is "two hundred thirty-two billion, ten million, thirty-three thousand, thirty-four".

Divisors: 1 2 3 6 13 17 26 31 34 39 51 62 78 93 102 186 221 403 442 499 527 663 806 998 1054 1209 1326 1497 1581 2418 2994 3162 6487 6851 8483 11311 12974 13702 15469 16966 19461 20553 22622 25449 30938 33933 38922 41106 46407 50898 67866 92814 110279 147043 192287 201097 220558 262973 294086 330837 350641 384574 402194 441129 525946 576861 603291 661674 701282 788919 882258 1051923 1153722 1206582 1577838 2103846 2499731 3418649 4558333 4999462 5644189 5960897 6837298 7499193 9116666 10255947 11288378 11921794 13674999 14998386 16932567 17882691 20511894 27349998 33865134 35765382 73374457 77491661 95951213 146748914 154983322 174969859 191902426 220123371 232474983 287853639 349939718 440246742 464949966 524909577 575707278 1049819154 1247365769 2274608167 2494731538 2974487603 3742097307 4549216334 5948975206 6823824501 7484194614 8923462809 13647649002 17846925618 38668338839 77336677678 116005016517 232010033034