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10100700116 = 22132931433499
BaseRepresentation
bin10010110100000110…
…00111001111010100
3222001221020201201022
421122003013033110
5131141234400431
64350141020312
7505206351203
oct113203071724
928057221638
1010100700116
114313644551
121b5a854698
13c4c817840
146bb69723a
153e1b5007b
hex25a0c73d4

10100700116 has 96 divisors (see below), whose sum is σ = 20415360000. Its totient is φ = 4337141760.

The previous prime is 10100700109. The next prime is 10100700131. The reversal of 10100700116 is 61100700101.

It is a junction number, because it is equal to n+sod(n) for n = 10100700094 and 10100700103.

It is a congruent number.

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, 20241635 + ... + 20242133.

It is an arithmetic number, because the mean of its divisors is an integer number (212660000).

Almost surely, 210100700116 is an apocalyptic number.

It is an amenable number.

10100700116 is an abundant number, since it is smaller than the sum of its proper divisors (10314659884).

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

10100700116 is a wasteful number, since it uses less digits than its factorization.

10100700116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 17.

The spelling of 10100700116 in words is "ten billion, one hundred million, seven hundred thousand, one hundred sixteen".

Divisors: 1 2 4 13 26 29 31 52 58 62 116 124 377 403 433 499 754 806 866 899 998 1508 1612 1732 1798 1996 3596 5629 6487 11258 11687 12557 12974 13423 14471 15469 22516 23374 25114 25948 26846 28942 30938 46748 50228 53692 57884 61876 163241 174499 188123 201097 216067 326482 348998 376246 389267 402194 432134 448601 652964 697996 752492 778534 804388 864268 897202 1557068 1794404 2808871 5060471 5617742 5831813 6265943 6698077 10120942 11235484 11663626 12531886 13396154 20241884 23327252 25063772 26792308 81457259 87075001 162914518 174150002 194244233 325829036 348300004 388488466 776976932 2525175029 5050350058 10100700116