Search a number
-
+
10124520021 = 3371144310993
BaseRepresentation
bin10010110110111011…
…11110101001010101
3222010121001220111000
421123131332221111
5131213334120041
64352351333513
7505616000040
oct113335765125
928117056430
1010124520021
114326033820
121b66821299
13c54737865
146c08d7c57
153e3ca7bb6
hex25b77ea55

10124520021 has 64 divisors (see below), whose sum is σ = 18744330240. Its totient is φ = 5247141120.

The previous prime is 10124519971. The next prime is 10124520037. The reversal of 10124520021 is 12002542101.

10124520021 is a `hidden beast` number, since 1 + 0 + 124 + 520 + 0 + 21 = 666.

It is not a de Polignac number, because 10124520021 - 217 = 10124388949 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10124519976 and 10124520003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124520041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 915501 + ... + 926493.

It is an arithmetic number, because the mean of its divisors is an integer number (292880160).

Almost surely, 210124520021 is an apocalyptic number.

10124520021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10124520021 is a deficient number, since it is larger than the sum of its proper divisors (8619810219).

10124520021 is a wasteful number, since it uses less digits than its factorization.

10124520021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11463 (or 11457 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 10124520021 in words is "ten billion, one hundred twenty-four million, five hundred twenty thousand, twenty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 443 693 1329 2079 3101 3987 4873 9303 10993 11961 14619 27909 32979 34111 43857 76951 83727 98937 102333 120923 131571 230853 296811 306999 362769 692559 846461 920997 1088307 2077677 2539383 3264921 4869899 7618149 14609697 22854447 34089293 43829091 53568889 102267879 131487273 160706667 306803637 374982223 482120001 920410911 1124946669 1446360003 3374840007 10124520021