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103140968112 = 24337132623651
BaseRepresentation
bin110000000001110101…
…1100100011010110000
3100212020001221001111000
41200003223210122300
53142213041434422
6115214324522000
710310633522640
oct1400353443260
9325201831430
10103140968112
113a818429a16
1217ba5850300
13995947cb60
144dc6280520
152a39d76cac
hex1803ae46b0

103140968112 has 160 divisors (see below), whose sum is σ = 364372789760. Its totient is φ = 27202003200.

The previous prime is 103140968081. The next prime is 103140968113. The reversal of 103140968112 is 211869041301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103140968113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1272514 + ... + 1351137.

It is an arithmetic number, because the mean of its divisors is an integer number (2277329936).

Almost surely, 2103140968112 is an apocalyptic number.

103140968112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103140968112 is an abundant number, since it is smaller than the sum of its proper divisors (261231821648).

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

103140968112 is a wasteful number, since it uses less digits than its factorization.

103140968112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2623688 (or 2623676 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 103140968112 in words is "one hundred three billion, one hundred forty million, nine hundred sixty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 36 39 42 48 52 54 56 63 72 78 84 91 104 108 112 117 126 144 156 168 182 189 208 216 234 252 273 312 336 351 364 378 432 468 504 546 624 702 728 756 819 936 1008 1092 1404 1456 1512 1638 1872 2184 2457 2808 3024 3276 4368 4914 5616 6552 9828 13104 19656 39312 2623651 5247302 7870953 10494604 15741906 18365557 20989208 23612859 31483812 34107463 36731114 41978416 47225718 55096671 62967624 68214926 70838577 73462228 94451436 102322389 110193342 125935248 136429852 141677154 146924456 165290013 188902872 204644778 220386684 238752241 272859704 283354308 293848912 306967167 330580026 377805744 409289556 440773368 477504482 495870039 545719408 566708616 613934334 661160052 716256723 818579112 881546736 920901501 955008964 991740078 1133417232 1227868668 1322320104 1432513446 1637158224 1841803002 1910017928 1983480156 2148770169 2455737336 2644640208 2865026892 3683606004 3820035856 3966960312 4297540338 4911474672 5730053784 6446310507 7367212008 7933920624 8595080676 11460107568 12892621014 14734424016 17190161352 25785242028 34380322704 51570484056 103140968112