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102640508340 = 22353121780099
BaseRepresentation
bin101111110010111011…
…0011101110110110100
3100210221012020001201220
41133211312131312310
53140201432231330
6115052530150340
710262345632356
oct1374566356664
9323835201656
10102640508340
113a5909890a7
1217a861223b0
1398a9896706
144d79a090d6
152a0ae6c710
hex17e5d9ddb4

102640508340 has 72 divisors (see below), whose sum is σ = 296963402400. Its totient is φ = 26487858240.

The previous prime is 102640508281. The next prime is 102640508363. The reversal of 102640508340 is 43805046201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 832390 + ... + 947709.

It is an arithmetic number, because the mean of its divisors is an integer number (4124491700).

Almost surely, 2102640508340 is an apocalyptic number.

102640508340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102640508340 is an abundant number, since it is smaller than the sum of its proper divisors (194322894060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102640508340 is a wasteful number, since it uses less digits than its factorization.

102640508340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780173 (or 1780140 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 102640508340 in words is "one hundred two billion, six hundred forty million, five hundred eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 961 1860 1922 2883 3844 4805 5766 9610 11532 14415 19220 28830 57660 1780099 3560198 5340297 7120396 8900495 10680594 17800990 21361188 26701485 35601980 53402970 55183069 106805940 110366138 165549207 220732276 275915345 331098414 551830690 662196828 827746035 1103661380 1655492070 1710675139 3310984140 3421350278 5132025417 6842700556 8553375695 10264050834 17106751390 20528101668 25660127085 34213502780 51320254170 102640508340