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32120213121 = 37531811531
BaseRepresentation
bin11101111010100000…
…111000111010000001
310001220111211220000000
4131322200320322001
51011240233304441
622431131350213
72214653210133
oct357240707201
9101814756000
1032120213121
1112693028587
126284bb2369
13304b70c389
1417a9c77053
15c7ed352b6
hex77a838e81

32120213121 has 64 divisors (see below), whose sum is σ = 49385306880. Its totient is φ = 20879726400.

The previous prime is 32120213113. The next prime is 32120213149. The reversal of 32120213121 is 12131202123.

It is not a de Polignac number, because 32120213121 - 23 = 32120213113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32120213094 and 32120213103.

It is not an unprimeable number, because it can be changed into a prime (32120213921) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 20979126 + ... + 20980656.

It is an arithmetic number, because the mean of its divisors is an integer number (771645420).

Almost surely, 232120213121 is an apocalyptic number.

It is an amenable number.

32120213121 is a deficient number, since it is larger than the sum of its proper divisors (17265093759).

32120213121 is an equidigital number, since it uses as much as digits as its factorization.

32120213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32120213121 its reverse (12131202123), we get a palindrome (44251415244).

The spelling of 32120213121 in words is "thirty-two billion, one hundred twenty million, two hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 27 53 81 159 181 243 477 543 729 1431 1531 1629 2187 4293 4593 4887 9593 12879 13779 14661 28779 38637 41337 43983 81143 86337 115911 124011 131949 243429 259011 277111 372033 395847 730287 777033 831333 1116099 2190861 2331099 2493999 3348297 6572583 6993297 7481997 14686883 19717749 20979891 22445991 44060649 59153247 67337973 132181947 177459741 202013919 396545841 606041757 1189637523 3568912569 10706737707 32120213121