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104214665120 = 2555871109611
BaseRepresentation
bin110000100001110101…
…1011001011110100000
3100221222220021111212212
41201003223121132200
53201412423240440
6115513041541252
710346352015626
oct1410353313640
9327886244785
10104214665120
1140219509415
1218245344828
139a9aa51527
145088ad3516
152a9e264465
hex1843ad97a0

104214665120 has 48 divisors (see below), whose sum is σ = 246626801568. Its totient is φ = 41614813440.

The previous prime is 104214665117. The next prime is 104214665171. The reversal of 104214665120 is 21566412401.

It is a super-2 number, since 2×1042146651202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460886 + ... + 648725.

It is an arithmetic number, because the mean of its divisors is an integer number (5138058366).

Almost surely, 2104214665120 is an apocalyptic number.

104214665120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104214665120 is an abundant number, since it is smaller than the sum of its proper divisors (142412136448).

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

104214665120 is a wasteful number, since it uses less digits than its factorization.

104214665120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110213 (or 1110205 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 104214665120 in words is "one hundred four billion, two hundred fourteen million, six hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 587 1174 2348 2935 4696 5870 9392 11740 18784 23480 46960 93920 1109611 2219222 4438444 5548055 8876888 11096110 17753776 22192220 35507552 44384440 88768880 177537760 651341657 1302683314 2605366628 3256708285 5210733256 6513416570 10421466512 13026833140 20842933024 26053666280 52107332560 104214665120