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105414461031 = 3114767965481
BaseRepresentation
bin110001000101100110…
…0010000011001100111
3101002002111220110110110
41202023030100121213
53211342100223111
6120232101424103
710421161064115
oct1421314203147
9332074813413
10105414461031
1140784795890
121851b10b033
139c2c4a3b39
1451601acab5
152b1e75e5a6
hex188b310667

105414461031 has 16 divisors (see below), whose sum is σ = 156592470528. Its totient is φ = 62528241600.

The previous prime is 105414461027. The next prime is 105414461041. The reversal of 105414461031 is 130164414501.

It is not a de Polignac number, because 105414461031 - 22 = 105414461027 is a prime.

It is a super-2 number, since 2×1054144610312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105414461031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105414461041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33981190 + ... + 33984291.

It is an arithmetic number, because the mean of its divisors is an integer number (9787029408).

Almost surely, 2105414461031 is an apocalyptic number.

105414461031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105414461031 is a deficient number, since it is larger than the sum of its proper divisors (51178009497).

105414461031 is a wasteful number, since it uses less digits than its factorization.

105414461031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67965542.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 105414461031 its reverse (130164414501), we get a palindrome (235578875532).

The spelling of 105414461031 in words is "one hundred five billion, four hundred fourteen million, four hundred sixty-one thousand, thirty-one".

Divisors: 1 3 11 33 47 141 517 1551 67965481 203896443 747620291 2242860873 3194377607 9583132821 35138153677 105414461031