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132053301 = 33431071063
BaseRepresentation
bin1111101111011…
…11100100110101
3100012111000002000
413313233210311
5232301201201
621034205513
73162302022
oct767574465
9305430060
10132053301
11685a4666
1238283899
1321487263
1413776549
15b8d6d86
hex7def935

132053301 has 32 divisors (see below), whose sum is σ = 202245120. Its totient is φ = 85104432.

The previous prime is 132053291. The next prime is 132053321. The reversal of 132053301 is 103350231.

132053301 is a `hidden beast` number, since 132 + 0 + 533 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-132053301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132053321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123696 + ... + 124758.

It is an arithmetic number, because the mean of its divisors is an integer number (6320160).

Almost surely, 2132053301 is an apocalyptic number.

It is an amenable number.

132053301 is a deficient number, since it is larger than the sum of its proper divisors (70191819).

132053301 is a wasteful number, since it uses less digits than its factorization.

132053301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 132053301 is about 11491.4446872445. Note that the first 3 decimals coincide. The cubic root of 132053301 is about 509.2328604919.

The spelling of 132053301 in words is "one hundred thirty-two million, fifty-three thousand, three hundred one".

Divisors: 1 3 9 27 43 107 129 321 387 963 1063 1161 2889 3189 4601 9567 13803 28701 41409 45709 113741 124227 137127 341223 411381 1023669 1234143 3071007 4890863 14672589 44017767 132053301