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10131004104 = 23313317331429
BaseRepresentation
bin10010110111101101…
…01101101011001000
3222011001021022222020
421123312231223020
5131222014112404
64353142324440
7506025054054
oct113366555310
928131238866
1010131004104
114329762371
121b68a29720
13c55b97cb0
146c1704c64
153e4638ed9
hex25bdadac8

10131004104 has 128 divisors (see below), whose sum is σ = 28213785600. Its totient is φ = 3010452480.

The previous prime is 10131004087. The next prime is 10131004111. The reversal of 10131004104 is 40140013101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7088862 + ... + 7090290.

It is an arithmetic number, because the mean of its divisors is an integer number (220420200).

Almost surely, 210131004104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131004104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106892800).

10131004104 is an abundant number, since it is smaller than the sum of its proper divisors (18082781496).

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

10131004104 is a wasteful number, since it uses less digits than its factorization.

10131004104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2211 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10131004104 its reverse (40140013101), we get a palindrome (50271017205).

The spelling of 10131004104 in words is "ten billion, one hundred thirty-one million, four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 733 744 806 1209 1429 1466 1612 2199 2418 2858 2932 3224 4287 4398 4836 5716 5864 8574 8796 9529 9672 11432 17148 17592 18577 19058 22723 28587 34296 37154 38116 44299 45446 55731 57174 68169 74308 76232 88598 90892 111462 114348 132897 136338 148616 177196 181784 222924 228696 265794 272676 295399 354392 445848 531588 545352 575887 590798 886197 1047457 1063176 1151774 1181596 1727661 1772394 2094914 2303548 2363192 3142371 3455322 3544788 4189828 4607096 6284742 6910644 7089576 8379656 12569484 13616941 13821288 25138968 27233882 32471167 40850823 54467764 64942334 81701646 97413501 108935528 129884668 163403292 194827002 259769336 326806584 389654004 422125171 779308008 844250342 1266375513 1688500684 2532751026 3377001368 5065502052 10131004104