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10120399984 = 244123171187
BaseRepresentation
bin10010110110011100…
…10000110001110000
3222010022022120212001
421123032100301300
5131211310244414
64352123143344
7505535660212
oct113316206160
928108276761
1010120399984
11432377a332
121b65374b54
13c53924476
146c01445b2
153e3742074
hex25b390c70

10120399984 has 60 divisors (see below), whose sum is σ = 20178576792. Its totient is φ = 4917061120.

The previous prime is 10120399981. The next prime is 10120399997. The reversal of 10120399984 is 48999302101.

It is a happy number.

It is a super-2 number, since 2×101203999842 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120399981) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8525439 + ... + 8526625.

Almost surely, 210120399984 is an apocalyptic number.

It is an amenable number.

10120399984 is a deficient number, since it is larger than the sum of its proper divisors (10058176808).

10120399984 is a wasteful number, since it uses less digits than its factorization.

10120399984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 10120399984 in words is "ten billion, one hundred twenty million, three hundred ninety-nine thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 41 82 164 317 328 634 656 1187 1268 1681 2374 2536 3362 4748 5072 6724 9496 12997 13448 18992 25994 26896 48667 51988 97334 103976 194668 207952 376279 389336 532877 752558 778672 1065754 1505116 1995347 2131508 3010232 3990694 4263016 6020464 7981388 8526032 15427439 15962776 30854878 31925552 61709756 123419512 246839024 632524999 1265049998 2530099996 5060199992 10120399984