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232013141310232 = 23379983111769691
BaseRepresentation
bin110100110000001111000100…
…110111101111101100011000
31010102111020110201212101200101
4310300033010313233230120
5220402300403133411412
62141241210553345144
766604252633554652
oct6460170467575430
91112436421771611
10232013141310232
1167a21247777057
122203184b7081b4
139c5c98c6ac9b9
1441416d2c916d2
151bc52da8ac457
hexd303c4defb18

232013141310232 has 64 divisors (see below), whose sum is σ = 437013331372800. Its totient is φ = 115477650207360.

The previous prime is 232013141310227. The next prime is 232013141310283.

232013141310232 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2320131413102322 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 232013141310232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3329134507 + ... + 3329204197.

It is an arithmetic number, because the mean of its divisors is an integer number (6828333302700).

Almost surely, 2232013141310232 is an apocalyptic number.

It is an amenable number.

232013141310232 is a deficient number, since it is larger than the sum of its proper divisors (205000190062568).

232013141310232 is a wasteful number, since it uses less digits than its factorization.

232013141310232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72176 (or 72172 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 232013141310232 in words is "two hundred thirty-two trillion, thirteen billion, one hundred forty-one million, three hundred ten thousand, two hundred thirty-two".

Divisors: 1 2 4 8 379 758 983 1117 1516 1966 2234 3032 3932 4468 7864 8936 69691 139382 278764 372557 423343 557528 745114 846686 1098011 1490228 1693372 2196022 2980456 3386744 4392044 8784088 26412889 52825778 68506253 77844847 105651556 137012506 155689694 211303112 274025012 311379388 416146169 548050024 622758776 832292338 1664584676 3329169352 25963869887 29503197013 51927739774 59006394026 76521484601 103855479548 118012788052 153042969202 207710959096 236025576104 306085938404 612171876808 29001642663779 58003285327558 116006570655116 232013141310232