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107123731 = 11131017417
BaseRepresentation
bin1100110001010…
…01010000010011
321110120110010121
412120221100103
5204410424411
614344011111
72440352041
oct630512023
9243513117
10107123731
1155517710
122ba60a97
1319269130
1410327391
159610571
hex6629413

107123731 has 16 divisors (see below), whose sum is σ = 127114848. Its totient is φ = 88992000.

The previous prime is 107123717. The next prime is 107123743. The reversal of 107123731 is 137321701.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-107123731 is a prime.

It is a super-2 number, since 2×1071237312 = 22950987486720722, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107123696 and 107123705.

It is not an unprimeable number, because it can be changed into a prime (107123711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10735 + ... + 18151.

It is an arithmetic number, because the mean of its divisors is an integer number (7944678).

Almost surely, 2107123731 is an apocalyptic number.

107123731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

107123731 is a deficient number, since it is larger than the sum of its proper divisors (19991117).

107123731 is a wasteful number, since it uses less digits than its factorization.

107123731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7542.

The product of its (nonzero) digits is 882, while the sum is 25.

The square root of 107123731 is about 10350.0594684282. The cubic root of 107123731 is about 474.9288624769.

The spelling of 107123731 in words is "one hundred seven million, one hundred twenty-three thousand, seven hundred thirty-one".

Divisors: 1 11 13 101 143 1111 1313 7417 14443 81587 96421 749117 1060631 8240287 9738521 107123731