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232132321212 = 2231141131327421
BaseRepresentation
bin1101100000110000101…
…0100001111110111100
3211012011200220201200020
43120030022201332330
512300401333234322
6254350133132140
722525312113531
oct3301412417674
9735150821606
10232132321212
118a4a0709770
1238ba478a050
1318b753aa7ac
14b3417cad88
15608939c05c
hex360c2a1fbc

232132321212 has 96 divisors (see below), whose sum is σ = 609916462848. Its totient is φ = 68103360000.

The previous prime is 232132321193. The next prime is 232132321243. The reversal of 232132321212 is 212123231232.

232132321212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2321323212122 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545262 + ... + 872682.

It is an arithmetic number, because the mean of its divisors is an integer number (6353296488).

Almost surely, 2232132321212 is an apocalyptic number.

232132321212 is a gapful number since it is divisible by the number (22) 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 232132321212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304958231424).

232132321212 is an abundant number, since it is smaller than the sum of its proper divisors (377784141636).

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

232132321212 is a wasteful number, since it uses less digits than its factorization.

232132321212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327611 (or 327609 counting only the distinct ones).

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

Adding to 232132321212 its reverse (212123231232), we get a palindrome (444255552444).

The spelling of 232132321212 in words is "two hundred thirty-two billion, one hundred thirty-two million, three hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 131 132 164 246 262 393 451 492 524 786 902 1353 1441 1572 1804 2706 2882 4323 5371 5412 5764 8646 10742 16113 17292 21484 32226 59081 64452 118162 177243 236324 327421 354486 654842 708972 982263 1309684 1964526 3601631 3929052 7203262 10804893 13424261 14406524 21609786 26848522 40272783 42892151 43219572 53697044 80545566 85784302 128676453 147666871 161091132 171568604 257352906 295333742 443000613 471813661 514705812 590667484 886001226 943627322 1415440983 1758578191 1772002452 1887254644 2830881966 3517156382 5275734573 5661763932 7034312764 10551469146 19344360101 21102938292 38688720202 58033080303 77377440404 116066160606 232132321212