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1312330332132 = 2233599154313147
BaseRepresentation
bin10011000110001100111…
…110111011011111100100
311122110100120001020002000
4103012030332323133210
5133000123031112012
62442513133245300
7163545524525511
oct23061476733744
94573316036060
101312330332132
11466613295226
12192408933830
13969a1819c61
1447734dd4308
152420b696ddc
hex1318cfbb7e4

1312330332132 has 96 divisors (see below), whose sum is σ = 3410486016000. Its totient is φ = 436396929696.

The previous prime is 1312330332127. The next prime is 1312330332149. The reversal of 1312330332132 is 2312330332131.

1312330332132 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 3 + 303 + 321 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1312330332096 and 1312330332105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99813183 + ... + 99826329.

It is an arithmetic number, because the mean of its divisors is an integer number (35525896000).

Almost surely, 21312330332132 is an apocalyptic number.

1312330332132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1312330332132 is an abundant number, since it is smaller than the sum of its proper divisors (2098155683868).

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

1312330332132 is a wasteful number, since it uses less digits than its factorization.

1312330332132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15302 (or 15294 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1312330332132 its reverse (2312330332131), we get a palindrome (3624660664263).

Subtracting 1312330332132 from its reverse (2312330332131), we obtain a palindrome (999999999999).

The spelling of 1312330332132 in words is "one trillion, three hundred twelve billion, three hundred thirty million, three hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 599 1198 1543 1797 2396 3086 3594 4629 5391 6172 7188 9258 10782 13147 13887 16173 18516 21564 26294 27774 32346 39441 41661 52588 55548 64692 78882 83322 118323 157764 166644 236646 354969 473292 709938 924257 1419876 1848514 2772771 3697028 5545542 7875053 8318313 11091084 15750106 16636626 20285821 23625159 24954939 31500212 33273252 40571642 47250318 49909878 60857463 70875477 81143284 94500636 99819756 121714926 141750954 182572389 212626431 243429852 283501908 365144778 425252862 547717167 730289556 850505724 1095434334 2190868668 12151206779 24302413558 36453620337 48604827116 72907240674 109360861011 145814481348 218721722022 328082583033 437443444044 656165166066 1312330332132