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10130313024 = 2632131352873
BaseRepresentation
bin10010110111101000…
…00100111101000000
3222010222222012222200
421123310010331000
5131221330004044
64353115433200
7506016145206
oct113364047500
928128865880
1010130313024
114329330127
121b68755800
13c559b5580
146c15a5076
153e454e369
hex25bd04f40

10130313024 has 84 divisors (see below), whose sum is σ = 31270329636. Its totient is φ = 3117017088.

The previous prime is 10130313023. The next prime is 10130313047. The reversal of 10130313024 is 42031303101.

It can be written as a sum of positive squares in 2 ways, for example, as 5428742400 + 4701570624 = 73680^2 + 68568^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10130312988 and 10130313006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130313023) 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, 668949 + ... + 683924.

It is an arithmetic number, because the mean of its divisors is an integer number (372265829).

Almost surely, 210130313024 is an apocalyptic number.

It is an amenable number.

10130313024 is an abundant number, since it is smaller than the sum of its proper divisors (21140016612).

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

10130313024 is a wasteful number, since it uses less digits than its factorization.

10130313024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352904 (or 1352891 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10130313024 its reverse (42031303101), we get a palindrome (52161616125).

The spelling of 10130313024 in words is "ten billion, one hundred thirty million, three hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 1352873 2705746 4058619 5411492 8117238 10822984 12175857 16234476 17587349 21645968 24351714 32468952 35174698 43291936 48703428 52762047 64937904 70349396 86583872 97406856 105524094 129875808 140698792 158286141 194813712 211048188 259751616 281397584 316572282 389627424 422096376 562795168 633144564 779254848 844192752 1125590336 1266289128 1688385504 2532578256 3376771008 5065156512 10130313024