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232010133010032 = 24313241697581821
BaseRepresentation
bin110100110000001100010001…
…100011111111011001110000
31010102110221201002012220121110
4310300030101203333121300
5220402223223022310112
62141235552251153320
766604115244462306
oct6460142143773160
91112427632186543
10232010133010032
1167a1aa43657643
1222031150145840
139c5c600380500
1441414c9528276
151bc51b172913c
hexd303118ff670

232010133010032 has 120 divisors (see below), whose sum is σ = 664840121602608. Its totient is φ = 69646568908800.

The previous prime is 232010133009989. The next prime is 232010133010081. The reversal of 232010133010032 is 230010331010232.

It is a super-2 number, since 2×2320101330100322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232010133009990 and 232010133010008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348458319 + ... + 349123502.

Almost surely, 2232010133010032 is an apocalyptic number.

It is an amenable number.

232010133010032 is an abundant number, since it is smaller than the sum of its proper divisors (432829988592576).

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

232010133010032 is a wasteful number, since it uses less digits than its factorization.

232010133010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697581899 (or 697581880 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 232010133010032 its reverse (230010331010232), we get a palindrome (462020464020264).

The spelling of 232010133010032 in words is "two hundred thirty-two trillion, ten billion, one hundred thirty-three million, ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 104 123 156 164 169 208 246 312 328 338 492 507 533 624 656 676 984 1014 1066 1352 1599 1968 2028 2132 2704 3198 4056 4264 6396 6929 8112 8528 12792 13858 20787 25584 27716 41574 55432 83148 110864 166296 332592 697581821 1395163642 2092745463 2790327284 4185490926 5580654568 8370981852 9068563673 11161309136 16741963704 18137127346 27205691019 28600854661 33483927408 36274254692 54411382038 57201709322 72548509384 85802563983 108822764076 114403418644 117891327749 145097018768 171605127966 217645528152 228806837288 235782655498 343210255932 353673983247 371811110593 435291056304 457613674576 471565310996 686420511864 707347966494 743622221186 943130621992 1115433331779 1372841023728 1414695932988 1487244442372 1886261243984 2230866663558 2829391865976 2974488884744 4461733327116 4833544437709 5658783731952 5948977769488 8923466654232 9667088875418 14500633313127 17846933308464 19334177750836 29001266626254 38668355501672 58002533252508 77336711003344 116005066505016 232010133010032