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100104100144320 = 2635269387639793
BaseRepresentation
bin10110110000101101001101…
…010101000110010011000000
3111010102212011212002210011110
4112300231031111012103000
5101110101144114104240
6552523104434043320
730041165630600256
oct2660551525062300
9433385155083143
10100104100144320
1129994a019063a8
12b288a18719540
1343b1a1223b48c
141aa10c86145d6
15b88e0d961c80
hex5b0b4d5464c0

100104100144320 has 112 divisors (see below), whose sum is σ = 319012044870240. Its totient is φ = 26595190849536.

The previous prime is 100104100144313. The next prime is 100104100144327. The reversal of 100104100144320 is 23441001401001.

It is an interprime number because it is at equal distance from previous prime (100104100144313) and next prime (100104100144327).

It is not an unprimeable number, because it can be changed into a prime (100104100144327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193561657 + ... + 194078136.

Almost surely, 2100104100144320 is an apocalyptic number.

100104100144320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100104100144320 is an abundant number, since it is smaller than the sum of its proper divisors (218907944725920).

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

100104100144320 is a wasteful number, since it uses less digits than its factorization.

100104100144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387640082 (or 387640072 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 100104100144320 its reverse (23441001401001), we get a palindrome (123545101545321).

The spelling of 100104100144320 in words is "one hundred trillion, one hundred four billion, one hundred million, one hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 269 320 480 538 807 960 1076 1345 1614 2152 2690 3228 4035 4304 5380 6456 8070 8608 10760 12912 16140 17216 21520 25824 32280 43040 51648 64560 86080 129120 258240 387639793 775279586 1162919379 1550559172 1938198965 2325838758 3101118344 3876397930 4651677516 5814596895 6202236688 7752795860 9303355032 11629193790 12404473376 15505591720 18606710064 23258387580 24808946752 31011183440 37213420128 46516775160 62022366880 74426840256 93033550320 104275104317 124044733760 186067100640 208550208634 312825312951 372134201280 417100417268 521375521585 625650625902 834200834536 1042751043170 1251301251804 1564126564755 1668401669072 2085502086340 2502602503608 3128253129510 3336803338144 4171004172680 5005205007216 6256506259020 6673606676288 8342008345360 10010410014432 12513012518040 16684016690720 20020820028864 25026025036080 33368033381440 50052050072160 100104100144320