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102306838123 = 7373049129553
BaseRepresentation
bin101111101000111110…
…1100111011001101011
3100210001221100212020201
41133101331213121223
53134011022304443
6114555450333031
710251154530040
oct1372175473153
9323057325221
10102306838123
113a42a5a7796
12179b242a177
13985570a209
144d4758d1c7
1529dba0c34d
hex17d1f6766b

102306838123 has 16 divisors (see below), whose sum is σ = 120122468800. Its totient is φ = 85292891136.

The previous prime is 102306838103. The next prime is 102306838129. The reversal of 102306838123 is 321838603201.

It is a cyclic number.

It is not a de Polignac number, because 102306838123 - 233 = 93716903531 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102306838129) 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, 724915 + ... + 854467.

It is an arithmetic number, because the mean of its divisors is an integer number (7507654300).

Almost surely, 2102306838123 is an apocalyptic number.

102306838123 is a deficient number, since it is larger than the sum of its proper divisors (17815630677).

102306838123 is a wasteful number, since it uses less digits than its factorization.

102306838123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132646.

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 102306838123 in words is "one hundred two billion, three hundred six million, eight hundred thirty-eight thousand, one hundred twenty-three".

Divisors: 1 7 37 259 3049 21343 112813 129553 789691 906871 4793461 33554227 395007097 2765049679 14615262589 102306838123