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202321012132032 = 26343163150343169
BaseRepresentation
bin101110000000001010001000…
…000011110000100011000000
3222112100200220012102211122220
4232000022020003300203000
5203004311413101211112
61554144553450331040
760421132201032333
oct5600121003604300
9875320805384586
10202321012132032
115951394a93a202
121a837201729a80
1388b7a35923a71
1437d65640c661a
15185cc7927298c
hexb802880f08c0

202321012132032 has 112 divisors (see below), whose sum is σ = 551117167877760. Its totient is φ = 65467834564608.

The previous prime is 202321012131943. The next prime is 202321012132091. The reversal of 202321012132032 is 230231210123202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 202321012131993 and 202321012132011.

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, 73825857 + ... + 76517312.

Almost surely, 2202321012132032 is an apocalyptic number.

It is an amenable number.

202321012132032 is an abundant number, since it is smaller than the sum of its proper divisors (348796155745728).

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

202321012132032 is a wasteful number, since it uses less digits than its factorization.

202321012132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150343390 (or 150343380 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 202321012132032 its reverse (230231210123202), we get a palindrome (432552222255234).

The spelling of 202321012132032 in words is "two hundred two trillion, three hundred twenty-one billion, twelve million, one hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 163 172 192 258 326 344 489 516 652 688 978 1032 1304 1376 1956 2064 2608 2752 3912 4128 5216 7009 7824 8256 10432 14018 15648 21027 28036 31296 42054 56072 84108 112144 168216 224288 336432 448576 672864 1345728 150343169 300686338 451029507 601372676 902059014 1202745352 1804118028 2405490704 3608236056 4810981408 6464756267 7216472112 9621962816 12929512534 14432944224 19394268801 24505936547 25859025068 28865888448 38788537602 49011873094 51718050136 73517809641 77577075204 98023746188 103436100272 147035619282 155154150408 196047492376 206872200544 294071238564 310308300816 392094984752 413744401088 588142477128 620616601632 784189969504 1053755271521 1176284954256 1241233203264 1568379939008 2107510543042 2352569908512 3161265814563 4215021086084 4705139817024 6322531629126 8430042172168 12645063258252 16860084344336 25290126516504 33720168688672 50580253033008 67440337377344 101160506066016 202321012132032