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104130211140 = 223252396593673
BaseRepresentation
bin110000011111010100…
…1001110110101000100
3100221210000100210210200
41200332221032311010
53201224313224030
6115500423450500
710344305122254
oct1407651166504
9327700323720
10104130211140
114018587593a
1218220bb6a30
139a863c1a67
14507b7cb964
152a96b30d60
hex183ea4ed44

104130211140 has 144 divisors (see below), whose sum is σ = 317751033600. Its totient is φ = 27602394624.

The previous prime is 104130211103. The next prime is 104130211187. The reversal of 104130211140 is 41112031401.

104130211140 is a `hidden beast` number, since 1 + 0 + 413 + 0 + 211 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28348344 + ... + 28352016.

It is an arithmetic number, because the mean of its divisors is an integer number (2206604400).

Almost surely, 2104130211140 is an apocalyptic number.

104130211140 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 104130211140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158875516800).

104130211140 is an abundant number, since it is smaller than the sum of its proper divisors (213620822460).

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

104130211140 is a wasteful number, since it uses less digits than its factorization.

104130211140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4586 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 104130211140 its reverse (41112031401), we get a palindrome (145242242541).

The spelling of 104130211140 in words is "one hundred four billion, one hundred thirty million, two hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 239 478 659 717 956 1195 1318 1434 1977 2151 2390 2636 2868 3295 3585 3673 3954 4302 4780 5931 6590 7170 7346 7908 8604 9885 10755 11019 11862 13180 14340 14692 18365 19770 21510 22038 23724 29655 33057 36730 39540 43020 44076 55095 59310 66114 73460 110190 118620 132228 157501 165285 220380 315002 330570 472503 630004 661140 787505 877847 945006 1417509 1575010 1755694 1890012 2362515 2420507 2633541 2835018 3150020 3511388 4389235 4725030 4841014 5267082 5670036 7087545 7261521 7900623 8778470 9450060 9682028 10534164 12102535 13167705 14175090 14523042 15801246 17556940 21784563 24205070 26335410 28350180 29046084 31602492 36307605 39503115 43569126 48410140 52670820 72615210 79006230 87138252 108922815 145230420 158012460 217845630 435691260 578501173 1157002346 1735503519 2314004692 2892505865 3471007038 5206510557 5785011730 6942014076 8677517595 10413021114 11570023460 17355035190 20826042228 26032552785 34710070380 52065105570 104130211140