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123032204014434 = 231113236233044527
BaseRepresentation
bin11011111110010110101010…
…110100001111001101100010
3121010121202121211120202011220
4123332112222310033031202
5112111224423211430214
61113400114140115510
734625532465066201
oct3376265264171542
9533552554522156
10123032204014434
11362247347a5650
1211970570235b96
135385b6bb2a600
142254b0cdb5238
15e3553b2349a9
hex6fe5aad0f362

123032204014434 has 96 divisors (see below), whose sum is σ = 290751352326144. Its totient is φ = 34405092296640.

The previous prime is 123032204014409. The next prime is 123032204014457. The reversal of 123032204014434 is 434410402230321.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 123032204014395 and 123032204014404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38888679 + ... + 41933205.

It is an arithmetic number, because the mean of its divisors is an integer number (3028659920064).

Almost surely, 2123032204014434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123032204014434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145375676163072).

123032204014434 is an abundant number, since it is smaller than the sum of its proper divisors (167719148311710).

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

123032204014434 is a wasteful number, since it uses less digits than its factorization.

123032204014434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048192 (or 3048179 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 123032204014434 its reverse (434410402230321), we get a palindrome (557442606244755).

The spelling of 123032204014434 in words is "one hundred twenty-three trillion, thirty-two billion, two hundred four million, fourteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 143 169 286 338 429 507 858 1014 1859 3623 3718 5577 7246 10869 11154 21738 39853 47099 79706 94198 119559 141297 239118 282594 518089 612287 1036178 1224574 1554267 1836861 3044527 3108534 3673722 6089054 6735157 9133581 13470314 18267162 20205471 33489797 39578851 40410942 66979594 79157702 100469391 118736553 200938782 237473106 435367361 514525063 870734722 1029050126 1306102083 1543575189 2612204166 3087150378 5659775693 11030321321 11319551386 16979327079 22060642642 33090963963 33958654158 66181927926 121333534531 143394177173 242667069062 286788354346 364000603593 430182531519 728001207186 860365063038 1577335948903 1864124303249 3154671897806 3728248606498 4732007846709 5592372909747 9464015693418 11184745819494 20505367335739 41010734671478 61516102007217 123032204014434