Search a number
-
+
10130520312 = 233511473743
BaseRepresentation
bin10010110111101001…
…10111100011111000
3222011000100202100000
421123310313203320
5131221403122222
64353124113000
7506021000433
oct113364674370
928130322300
1010130520312
114329461940
121b68835760
13c55a58a23
146c161a81a
153e45909ac
hex25bd378f8

10130520312 has 96 divisors (see below), whose sum is σ = 31039706880. Its totient is φ = 3069848160.

The previous prime is 10130520251. The next prime is 10130520331. The reversal of 10130520312 is 21302503101.

10130520312 is a `hidden beast` number, since 1 + 0 + 130 + 520 + 3 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215488 + ... + 258255.

It is an arithmetic number, because the mean of its divisors is an integer number (323330280).

Almost surely, 210130520312 is an apocalyptic number.

10130520312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10130520312 is an abundant number, since it is smaller than the sum of its proper divisors (20909186568).

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

10130520312 is a wasteful number, since it uses less digits than its factorization.

10130520312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473775 (or 473759 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The spelling of 10130520312 in words is "ten billion, one hundred thirty million, five hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1782 1944 2376 2673 3564 5346 7128 10692 21384 473743 947486 1421229 1894972 2842458 3789944 4263687 5211173 5684916 8527374 10422346 11369832 12791061 15633519 17054748 20844692 25582122 31267038 34109496 38373183 41689384 46900557 51164244 62534076 76746366 93801114 102328488 115119549 125068152 140701671 153492732 187602228 230239098 281403342 306985464 375204456 422105013 460478196 562806684 844210026 920956392 1125613368 1266315039 1688420052 2532630078 3376840104 5065260156 10130520312