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130907743512 = 233713131457553
BaseRepresentation
bin111100111101010110…
…1011010010100011000
3110111220012000101121220
41321322231122110120
54121044340243022
6140045503132040
712313005313620
oct1717255322430
9414805011556
10130907743512
1150577010287
12214548a4020
13c462c7c980
14649bc7d880
1536128be85c
hex1e7ab5a518

130907743512 has 128 divisors (see below), whose sum is σ = 405868700160. Its totient is φ = 34261493760.

The previous prime is 130907743481. The next prime is 130907743639. The reversal of 130907743512 is 215347709031.

It is a super-2 number, since 2×1309077435122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 57328 + ... + 514880.

It is an arithmetic number, because the mean of its divisors is an integer number (3170849220).

Almost surely, 2130907743512 is an apocalyptic number.

130907743512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130907743512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202934350080).

130907743512 is an abundant number, since it is smaller than the sum of its proper divisors (274960956648).

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

130907743512 is a wasteful number, since it uses less digits than its factorization.

130907743512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457713 (or 457709 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The spelling of 130907743512 in words is "one hundred thirty billion, nine hundred seven million, seven hundred forty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 131 156 168 182 262 273 312 364 393 524 546 728 786 917 1048 1092 1572 1703 1834 2184 2751 3144 3406 3668 5109 5502 6812 7336 10218 11004 11921 13624 20436 22008 23842 35763 40872 47684 71526 95368 143052 286104 457553 915106 1372659 1830212 2745318 3202871 3660424 5490636 5948189 6405742 9608613 10981272 11896378 12811484 17844567 19217226 23792756 25622968 35689134 38434452 41637323 47585512 59939443 71378268 76868904 83274646 119878886 124911969 142756536 166549292 179818329 239757772 249823938 333098584 359636658 419576101 479515544 499647876 719273316 779212759 839152202 999295752 1258728303 1438546632 1558425518 1678304404 2337638277 2517456606 3116851036 3356608808 4675276554 5034913212 5454489313 6233702072 9350553108 10069826424 10908978626 16363467939 18701106216 21817957252 32726935878 43635914504 65453871756 130907743512