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102041015114000 = 24532831783101113
BaseRepresentation
bin10111001100111001000110…
…011101010101100100010000
3111101022000200210100001101002
4113030321012131111210100
5101333314444332122000
61001004554544001132
730331135323311204
oct2714710635254420
9441260623301332
10102041015114000
112a571395912196
12b5402956001a8
1344c2570b5c231
141b2ab509d2b04
15bbe4c344d8d5
hex5cce46755910

102041015114000 has 160 divisors (see below), whose sum is σ = 247748351495424. Its totient is φ = 40648965350400.

The previous prime is 102041015113993. The next prime is 102041015114021. The reversal of 102041015114000 is 411510140201.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1009127444 + ... + 1009228556.

Almost surely, 2102041015114000 is an apocalyptic number.

102041015114000 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 102041015114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123874175747712).

102041015114000 is an abundant number, since it is smaller than the sum of its proper divisors (145707336381424).

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

102041015114000 is a wasteful number, since it uses less digits than its factorization.

102041015114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103202 (or 103186 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 102041015114000 its reverse (411510140201), we get a palindrome (102452525254201).

The spelling of 102041015114000 in words is "one hundred two trillion, forty-one billion, fifteen million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 283 400 500 566 1000 1132 1415 1783 2000 2264 2830 3566 4528 5660 7075 7132 8915 11320 14150 14264 17830 22640 28300 28528 35375 35660 44575 56600 70750 71320 89150 101113 113200 141500 142640 178300 202226 222875 283000 356600 404452 445750 504589 505565 566000 713200 808904 891500 1009178 1011130 1617808 1783000 2018356 2022260 2522945 2527825 3566000 4036712 4044520 5045890 5055650 8073424 8089040 10091780 10111300 12614725 12639125 20183560 20222600 25229450 25278250 28614979 40367120 40445200 50458900 50556500 57229958 63073625 100917800 101113000 114459916 126147250 143074895 180284479 201835600 202226000 228919832 252294500 286149790 360568958 457839664 504589000 572299580 715374475 721137916 901422395 1009178000 1144599160 1430748950 1442275832 1802844790 2289198320 2861497900 2884551664 3576872375 3605689580 4507111975 5722995800 7153744750 7211379160 9014223950 11445991600 14307489500 14422758320 18028447900 22535559875 28614979000 36056895800 45071119750 51020507557 57229958000 72113791600 90142239500 102041015114 180284479000 204082030228 255102537785 360568958000 408164060456 510205075570 816328120912 1020410151140 1275512688925 2040820302280 2551025377850 4081640604560 5102050755700 6377563444625 10204101511400 12755126889250 20408203022800 25510253778500 51020507557000 102041015114000