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102139581360 = 24351924599109
BaseRepresentation
bin101111100011111111…
…1100101001110110000
3100202122021122100002210
41133013333211032300
53133140213100420
6114531113412120
710244054055015
oct1370777451660
9322567570083
10102139581360
113a354149263
121796640a040
139829b7870b
144d2d29170c
1529cbebe9e0
hex17c7fe53b0

102139581360 has 160 divisors (see below), whose sum is σ = 333469728000. Its totient is φ = 25790358528.

The previous prime is 102139581329. The next prime is 102139581367. The reversal of 102139581360 is 63185931201.

It is not an unprimeable number, because it can be changed into a prime (102139581367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11208486 + ... + 11217594.

It is an arithmetic number, because the mean of its divisors is an integer number (2084185800).

Almost surely, 2102139581360 is an apocalyptic number.

102139581360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102139581360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166734864000).

102139581360 is an abundant number, since it is smaller than the sum of its proper divisors (231330146640).

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

102139581360 is a wasteful number, since it uses less digits than its factorization.

102139581360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11603 (or 11597 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 102139581360 in words is "one hundred two billion, one hundred thirty-nine million, five hundred eighty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 2459 4560 4918 7377 9109 9836 12295 14754 18218 19672 24590 27327 29508 36436 36885 39344 45545 46721 49180 54654 59016 72872 73770 91090 93442 98360 109308 118032 136635 140163 145744 147540 173071 182180 186884 196720 218616 233605 273270 280326 295080 346142 364360 373768 437232 467210 519213 546540 560652 590160 692284 700815 728720 747536 865355 934420 1038426 1093080 1121304 1384568 1401630 1730710 1868840 2076852 2186160 2242608 2596065 2769136 2803260 3461420 3737680 4153704 5192130 5606520 6922840 8307408 10384260 11213040 13845680 20768520 22399031 41537040 44798062 67197093 89596124 111995155 134394186 179192248 223990310 268788372 335985465 358384496 425581589 447980620 537576744 671970930 851163178 895961240 1075153488 1276744767 1343941860 1702326356 1791922480 2127907945 2553489534 2687883720 3404652712 4255815890 5106979068 5375767440 6383723835 6809305424 8511631780 10213958136 12767447670 17023263560 20427916272 25534895340 34046527120 51069790680 102139581360