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107243507969 = 13312411104203
BaseRepresentation
bin110001111100000110…
…1100001000100000001
3101020210222120200011122
41203320031201010001
53224113314223334
6121133400322025
710514410530353
oct1437015410401
9336728520148
10107243507969
1141533189924
121894b773315
13a1613c4130
1452950870d3
152bca10432e
hex18f8361101

107243507969 has 16 divisors (see below), whose sum is σ = 119713380864. Its totient is φ = 95403052800.

The previous prime is 107243507941. The next prime is 107243508007. The reversal of 107243507969 is 969705342701.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-107243507969 is a prime.

It is a super-3 number, since 3×1072435079693 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107243507969.

It is not an unprimeable number, because it can be changed into a prime (107243507929) 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, 454979 + ... + 649224.

It is an arithmetic number, because the mean of its divisors is an integer number (7482086304).

Almost surely, 2107243507969 is an apocalyptic number.

It is an amenable number.

107243507969 is a deficient number, since it is larger than the sum of its proper divisors (12469872895).

107243507969 is a wasteful number, since it uses less digits than its factorization.

107243507969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104488.

The product of its (nonzero) digits is 2857680, while the sum is 53.

The spelling of 107243507969 in words is "one hundred seven billion, two hundred forty-three million, five hundred seven thousand, nine hundred sixty-nine".

Divisors: 1 13 31 241 403 3133 7471 97123 1104203 14354639 34230293 266112923 444993809 3459467999 8249500613 107243507969