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103112311113 = 32710736174229
BaseRepresentation
bin110000000000111111…
…0010000000101001001
3100212011002000010110200
41200001332100011021
53142133222423423
6115211422402413
710310135116560
oct1400176200511
9325132003420
10103112311113
113a803236549
1217b98130409
139953558256
144dc2540bd7
152a375b5d43
hex1801f90149

103112311113 has 48 divisors (see below), whose sum is σ = 171896100480. Its totient is φ = 58340717568.

The previous prime is 103112311091. The next prime is 103112311121. The reversal of 103112311113 is 311113211301.

103112311113 is a `hidden beast` number, since 10 + 311 + 231 + 1 + 113 = 666.

It is not a de Polignac number, because 103112311113 - 213 = 103112302921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103112311153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24380083 + ... + 24384311.

It is an arithmetic number, because the mean of its divisors is an integer number (3581168760).

Almost surely, 2103112311113 is an apocalyptic number.

It is an amenable number.

103112311113 is a deficient number, since it is larger than the sum of its proper divisors (68783789367).

103112311113 is a wasteful number, since it uses less digits than its factorization.

103112311113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7966 (or 7963 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 103112311113 its reverse (311113211301), we get a palindrome (414225522414).

The spelling of 103112311113 in words is "one hundred three billion, one hundred twelve million, three hundred eleven thousand, one hundred thirteen".

Divisors: 1 3 7 9 21 63 107 321 749 963 2247 3617 4229 6741 10851 12687 25319 29603 32553 38061 75957 88809 227871 266427 387019 452503 1161057 1357509 2709133 3167521 3483171 4072527 8127399 9502563 15296293 24382197 28507689 45888879 107074051 137666637 321222153 963666459 1636703351 4910110053 11456923457 14730330159 34370770371 103112311113