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132120315 = 36567541
BaseRepresentation
bin1111101111111…
…11111011111011
3100012121102000000
413313333323323
5232310322230
621035444043
73163001265
oct767777373
9305542000
10132120315
116863aa48
12382b6623
13214ab902
1413792b35
15b8ebb60
hex7dffefb

132120315 has 56 divisors (see below), whose sum is σ = 241701648. Its totient is φ = 69284160.

The previous prime is 132120301. The next prime is 132120323. The reversal of 132120315 is 513021231.

It is not a de Polignac number, because 132120315 - 26 = 132120251 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 243945 + ... + 244485.

Almost surely, 2132120315 is an apocalyptic number.

132120315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132120315 is a deficient number, since it is larger than the sum of its proper divisors (109581333).

132120315 is an frugal number, since it uses more digits than its factorization.

132120315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 132120315 is about 11494.3601387811. The cubic root of 132120315 is about 509.3189872291.

Adding to 132120315 its reverse (513021231), we get a palindrome (645141546).

The spelling of 132120315 in words is "one hundred thirty-two million, one hundred twenty thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 27 45 67 81 135 201 243 335 405 541 603 729 1005 1215 1623 1809 2705 3015 3645 4869 5427 8115 9045 14607 16281 24345 27135 36247 43821 48843 73035 81405 108741 131463 181235 219105 244215 326223 394389 543705 657315 978669 1631115 1971945 2936007 4893345 8808021 14680035 26424063 44040105 132120315