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100412331 = 31031073037
BaseRepresentation
bin1011111110000…
…10101110101011
320222221110211020
411333002232223
5201201143311
613544103523
72326330215
oct577025653
9228843736
10100412331
11517532a8
1229764ba3
1317a593a6
14d49b5b5
158c36c06
hex5fc2bab

100412331 has 16 divisors (see below), whose sum is σ = 136491264. Its totient is φ = 65650464.

The previous prime is 100412327. The next prime is 100412357. The reversal of 100412331 is 133214001.

It is not a de Polignac number, because 100412331 - 22 = 100412327 is a prime.

It is a super-2 number, since 2×1004123312 = 20165272433707122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100412331.

It is not an unprimeable number, because it can be changed into a prime (100412371) 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 15 ways as a sum of consecutive naturals, for example, 31545 + ... + 34581.

It is an arithmetic number, because the mean of its divisors is an integer number (8530704).

Almost surely, 2100412331 is an apocalyptic number.

100412331 is a deficient number, since it is larger than the sum of its proper divisors (36078933).

100412331 is a wasteful number, since it uses less digits than its factorization.

100412331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 100412331 is about 10020.5953415952. The cubic root of 100412331 is about 464.7959655213.

Adding to 100412331 its reverse (133214001), we get a palindrome (233626332).

The spelling of 100412331 in words is "one hundred million, four hundred twelve thousand, three hundred thirty-one".

Divisors: 1 3 103 107 309 321 3037 9111 11021 33063 312811 324959 938433 974877 33470777 100412331