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100240014000 = 2435372386667
BaseRepresentation
bin101110101011011000…
…1010011101010110000
3100120201220021022120010
41131112301103222300
53120242420422000
6114014415214520
710146020026530
oct1352661235260
9316656238503
10100240014000
1139569969185
1217516217440
1395b6466a69
144bccc9b4c0
15291a349d50
hex1756c53ab0

100240014000 has 160 divisors (see below), whose sum is σ = 369341646336. Its totient is φ = 22911993600.

The previous prime is 100240013989. The next prime is 100240014011. The reversal of 100240014000 is 410042001.

It is an interprime number because it is at equal distance from previous prime (100240013989) and next prime (100240014011).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1151334 + ... + 1235333.

Almost surely, 2100240014000 is an apocalyptic number.

100240014000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100240014000 is an abundant number, since it is smaller than the sum of its proper divisors (269101632336).

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

100240014000 is a wasteful number, since it uses less digits than its factorization.

100240014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2386700 (or 2386684 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100240014000 its reverse (410042001), we get a palindrome (100650056001).

The spelling of 100240014000 in words is "one hundred billion, two hundred forty million, fourteen thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 2386667 4773334 7160001 9546668 11933335 14320002 16706669 19093336 23866670 28640004 33413338 35800005 38186672 47733340 50120007 57280008 59666675 66826676 71600010 83533345 95466680 100240014 114560016 119333350 133653352 143200020 167066690 179000025 190933360 200480028 238666700 250600035 267306704 286400040 298333375 334133380 358000050 400960056 417666725 477333400 501200070 572800080 596666750 668266760 716000100 801920112 835333450 895000125 954666800 1002400140 1193333500 1253000175 1336533520 1432000200 1670666900 1790000250 2004800280 2088333625 2386667000 2506000350 2864000400 3341333800 3580000500 4009600560 4176667250 4773334000 5012000700 6265000875 6682667600 7160001000 8353334500 10024001400 12530001750 14320002000 16706669000 20048002800 25060003500 33413338000 50120007000 100240014000