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132156321 = 3113231439
BaseRepresentation
bin1111110000010…
…00101110100001
3100012200020101120
413320020232201
5232313000241
621040322453
73163211253
oct770105641
9305606346
10132156321
1168665000
1238313429
13214c210b
14137a1cd3
15b907666
hex7e08ba1

132156321 has 32 divisors (see below), whose sum is σ = 202383360. Its totient is φ = 76559120.

The previous prime is 132156319. The next prime is 132156331. The reversal of 132156321 is 123651231.

It is not a de Polignac number, because 132156321 - 21 = 132156319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132156291 and 132156300.

It is not an unprimeable number, because it can be changed into a prime (132156301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91120 + ... + 92558.

It is an arithmetic number, because the mean of its divisors is an integer number (6324480).

Almost surely, 2132156321 is an apocalyptic number.

132156321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132156321 is a deficient number, since it is larger than the sum of its proper divisors (70227039).

132156321 is a wasteful number, since it uses less digits than its factorization.

132156321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1476 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 132156321 is about 11495.9262784693. The cubic root of 132156321 is about 509.3652502983.

The spelling of 132156321 in words is "one hundred thirty-two million, one hundred fifty-six thousand, three hundred twenty-one".

Divisors: 1 3 11 23 33 69 121 253 363 759 1331 1439 2783 3993 4317 8349 15829 30613 33097 47487 91839 99291 174119 364067 522357 1092201 1915309 4004737 5745927 12014211 44052107 132156321