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32011230141312 = 273106137854761
BaseRepresentation
bin1110100011101001100100…
…00000000101101110000000
311012100020120200000220012220
413101310302000011232000
513143432444404010222
6152025431153051040
76512510060462112
oct721646200055600
9135306520026186
1032011230141312
11a22198297a264
12370bba8256a80
1314b28524a9646
147c94cd4d73b2
153a7a43b55b5c
hex1d1d32005b80

32011230141312 has 64 divisors (see below), whose sum is σ = 85037852745360. Its totient is φ = 10669403279360.

The previous prime is 32011230141307. The next prime is 32011230141361. The reversal of 32011230141312 is 21314103211023.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×320112301413123 (a number of 41 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148012 + ... + 8002772.

Almost surely, 232011230141312 is an apocalyptic number.

32011230141312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32011230141312 is an abundant number, since it is smaller than the sum of its proper divisors (53026622604048).

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

32011230141312 is a wasteful number, since it uses less digits than its factorization.

32011230141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7865391 (or 7865379 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 32011230141312 its reverse (21314103211023), we get a palindrome (53325333352335).

The spelling of 32011230141312 in words is "thirty-two trillion, eleven billion, two hundred thirty million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 10613 21226 31839 42452 63678 84904 127356 169808 254712 339616 509424 679232 1018848 1358464 2037696 4075392 7854761 15709522 23564283 31419044 47128566 62838088 94257132 125676176 188514264 251352352 377028528 502704704 754057056 1005409408 1508114112 3016228224 83362578493 166725156986 250087735479 333450313972 500175470958 666900627944 1000350941916 1333801255888 2000701883832 2667602511776 4001403767664 5335205023552 8002807535328 10670410047104 16005615070656 32011230141312