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102931085435 = 51672274391237
BaseRepresentation
bin101111111011100101…
…0111011100001111011
3100211200102222220120112
41133313022323201323
53141300324213220
6115141430214535
710302504535043
oct1376712734173
9324612886515
10102931085435
113a71aa06a62
1217b474b444b
139924b45519
144da6448723
152a267195c5
hex17f72bb87b

102931085435 has 32 divisors (see below), whose sum is σ = 125189729280. Its totient is φ = 81239847552.

The previous prime is 102931085407. The next prime is 102931085479. The reversal of 102931085435 is 534580139201.

It is a cyclic number.

It is not a de Polignac number, because 102931085435 - 214 = 102931069051 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102931085392 and 102931085401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83209637 + ... + 83210873.

It is an arithmetic number, because the mean of its divisors is an integer number (3912179040).

Almost surely, 2102931085435 is an apocalyptic number.

102931085435 is a deficient number, since it is larger than the sum of its proper divisors (22258643845).

102931085435 is a wasteful number, since it uses less digits than its factorization.

102931085435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075.

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 102931085435 in words is "one hundred two billion, nine hundred thirty-one million, eighty-five thousand, four hundred thirty-five".

Divisors: 1 5 167 227 439 835 1135 1237 2195 6185 37909 73313 99653 189545 206579 280799 366565 498265 543043 1032895 1403995 2715215 16642051 46893433 83210255 90688181 123270761 234467165 453440905 616353805 20586217087 102931085435