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102120802960 = 245118311312373
BaseRepresentation
bin101111100011011011…
…1111100101010010000
3100202120222022021222111
41133012313330222100
53133120411143320
6114525203115104
710243435334341
oct1370667745220
9322528267874
10102120802960
113a344592820
1217960072a94
139826002337
144d2a9a40c8
1529ca510a5a
hex17c6dfca90

102120802960 has 160 divisors (see below), whose sum is σ = 264477322368. Its totient is φ = 36359823360.

The previous prime is 102120802943. The next prime is 102120803069. The reversal of 102120802960 is 69208021201.

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, 8247334 + ... + 8259706.

Almost surely, 2102120802960 is an apocalyptic number.

102120802960 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 102120802960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132238661184).

102120802960 is an abundant number, since it is smaller than the sum of its proper divisors (162356519408).

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

102120802960 is a wasteful number, since it uses less digits than its factorization.

102120802960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12593 (or 12587 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 102120802960 in words is "one hundred two billion, one hundred twenty million, eight hundred two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 113 166 176 220 226 332 415 440 452 565 664 830 880 904 913 1130 1243 1328 1660 1808 1826 2260 2486 3320 3652 4520 4565 4972 6215 6640 7304 9040 9130 9379 9944 12373 12430 14608 18260 18758 19888 24746 24860 36520 37516 46895 49492 49720 61865 73040 75032 93790 98984 99440 103169 123730 136103 150064 187580 197968 206338 247460 272206 375160 412676 494920 515845 544412 680515 750320 825352 989840 1026959 1031690 1088824 1361030 1398149 1650704 2053918 2063380 2177648 2722060 2796298 4107836 4126760 5134795 5444120 5592596 6990745 8215672 8253520 10269590 10888240 11185192 11296549 13981490 15379639 16431344 20539180 22370384 22593098 27962980 30759278 41078360 45186196 55925960 56482745 61518556 76898195 82156720 90372392 111851920 112965490 116046367 123037112 153796390 180744784 225930980 232092734 246074224 307592780 451861960 464185468 580231835 615185560 903723920 928370936 1160463670 1230371120 1276510037 1856741872 2320927340 2553020074 4641854680 5106040148 6382550185 9283709360 10212080296 12765100370 20424160592 25530200740 51060401480 102120802960