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232131112131000 = 2335382639364279
BaseRepresentation
bin110100110001111100111100…
…011110101101100110111000
31010102220111222022210000120110
4310301330330132231212320
5220411214004201143000
62141411321041424320
766615630233155635
oct6461747436554670
91112814868700513
10232131112131000
1167a67285174845
122205069393b0a0
139c6ab403744a4
1441472c490518c
151bc83e2639850
hexd31f3c7ad9b8

232131112131000 has 128 divisors (see below), whose sum is σ = 724336796851200. Its totient is φ = 61894131868800.

The previous prime is 232131112130969. The next prime is 232131112131007. The reversal of 232131112131000 is 131211131232.

It is a super-2 number, since 2×2321311121310002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232131112131007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20106861 + ... + 29471139.

It is an arithmetic number, because the mean of its divisors is an integer number (5658881225400).

Almost surely, 2232131112131000 is an apocalyptic number.

232131112131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232131112131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362168398425600).

232131112131000 is an abundant number, since it is smaller than the sum of its proper divisors (492205684720200).

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

232131112131000 is a wasteful number, since it uses less digits than its factorization.

232131112131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9372566 (or 9372552 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 232131112131000 its reverse (131211131232), we get a palindrome (232262323262232).

The spelling of 232131112131000 in words is "two hundred thirty-two trillion, one hundred thirty-one billion, one hundred twelve million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 8263 16526 24789 33052 41315 49578 66104 82630 99156 123945 165260 198312 206575 247890 330520 413150 495780 619725 826300 991560 1032875 1239450 1652600 2065750 2478900 3098625 4131500 4957800 6197250 8263000 9364279 12394500 18728558 24789000 28092837 37457116 46821395 56185674 74914232 93642790 112371348 140464185 187285580 224742696 234106975 280928370 374571160 468213950 561856740 702320925 936427900 1123713480 1170534875 1404641850 1872855800 2341069750 2809283700 3511604625 4682139500 5618567400 7023209250 9364279000 14046418500 28092837000 77377037377 154754074754 232131112131 309508149508 386885186885 464262224262 619016299016 773770373770 928524448524 1160655560655 1547540747540 1857048897048 1934425934425 2321311121310 3095081495080 3868851868850 4642622242620 5803277803275 7737703737700 9285244485240 9672129672125 11606555606550 15475407475400 19344259344250 23213111213100 29016389016375 38688518688500 46426222426200 58032778032750 77377037377000 116065556065500 232131112131000