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107117313747 = 3892839771451
BaseRepresentation
bin110001111000010110…
…0000111111011010011
3101020111012010100020120
41203300230013323103
53223334013014442
6121113051441323
710511316100233
oct1436054077323
9336435110216
10107117313747
1141478a27284
1218915456243
13a14120b9b2
1452823d7cc3
152bbdec84ec
hex18f0b07ed3

107117313747 has 32 divisors (see below), whose sum is σ = 145186525440. Its totient is φ = 70239206400.

The previous prime is 107117313733. The next prime is 107117313749. The reversal of 107117313747 is 747313711701.

It is not a de Polignac number, because 107117313747 - 24 = 107117313731 is a prime.

It is a super-2 number, since 2×1071173137472 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107117313699 and 107117313708.

It is not an unprimeable number, because it can be changed into a prime (107117313749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73822372 + ... + 73823822.

It is an arithmetic number, because the mean of its divisors is an integer number (4537078920).

Almost surely, 2107117313747 is an apocalyptic number.

107117313747 is a deficient number, since it is larger than the sum of its proper divisors (38069211693).

107117313747 is a wasteful number, since it uses less digits than its factorization.

107117313747 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803.

The product of its (nonzero) digits is 86436, while the sum is 42.

The spelling of 107117313747 in words is "one hundred seven billion, one hundred seventeen million, three hundred thirteen thousand, seven hundred forty-seven".

Divisors: 1 3 89 267 283 849 977 1451 2931 4353 25187 75561 86953 129139 260859 276491 387417 410633 829473 1231899 1417627 4252881 24607699 36546337 73823097 109639011 126168803 378506409 401188441 1203565323 35705771249 107117313747