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101630331 = 32116116829
BaseRepresentation
bin1100000111011…
…00000101111011
321002020100121100
412003230011323
5202004132311
614030142443
72342562225
oct603540573
9232210540
10101630331
1152405410
122a051a23
13180948ba
14d6d7415
158dc7a56
hex60ec17b

101630331 has 24 divisors (see below), whose sum is σ = 162779760. Its totient is φ = 60580800.

The previous prime is 101630329. The next prime is 101630351. The reversal of 101630331 is 133036101.

101630331 is a `hidden beast` number, since 1 + 0 + 1 + 630 + 3 + 31 = 666.

It is not a de Polignac number, because 101630331 - 21 = 101630329 is a prime.

It is a super-2 number, since 2×1016303312 = 20657448358339122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101630311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2376 + ... + 14453.

It is an arithmetic number, because the mean of its divisors is an integer number (6782490).

Almost surely, 2101630331 is an apocalyptic number.

101630331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101630331 is a deficient number, since it is larger than the sum of its proper divisors (61149429).

101630331 is a wasteful number, since it uses less digits than its factorization.

101630331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16907 (or 16904 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 101630331 is about 10081.1869836840. The cubic root of 101630331 is about 466.6677401903.

Adding to 101630331 its reverse (133036101), we get a palindrome (234666432).

The spelling of 101630331 in words is "one hundred one million, six hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 61 99 183 549 671 2013 6039 16829 50487 151461 185119 555357 1026569 1666071 3079707 9239121 11292259 33876777 101630331