Search a number
-
+
3107307953100 = 22352131093728953
BaseRepresentation
bin101101001101111001111…
…111001001101111001100
3102000001111122010002201110
4231031321333021233030
5401402231313444400
610335251053212020
7440331662544231
oct55157177115714
912001448102643
103107307953100
11a9889037213a
12422273191010
13197030399340
14aa574757788
1555c65327e50
hex2d379fc9bcc

3107307953100 has 144 divisors (see below), whose sum is σ = 9690924414752. Its totient is φ = 764174960640.

The previous prime is 3107307953069. The next prime is 3107307953149. The reversal of 3107307953100 is 13597037013.

It is a super-2 number, since 2×31073079531002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3898224 + ... + 4627176.

Almost surely, 23107307953100 is an apocalyptic number.

3107307953100 is a gapful number since it is divisible by the number (30) 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 3107307953100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4845462207376).

3107307953100 is an abundant number, since it is smaller than the sum of its proper divisors (6583616461652).

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

3107307953100 is a wasteful number, since it uses less digits than its factorization.

3107307953100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730076 (or 730069 counting only the distinct ones).

The product of its (nonzero) digits is 59535, while the sum is 39.

The spelling of 3107307953100 in words is "three trillion, one hundred seven billion, three hundred seven million, nine hundred fifty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1093 1300 1950 2186 3279 3900 4372 5465 6558 10930 13116 14209 16395 21860 27325 28418 32790 42627 54650 56836 65580 71045 81975 85254 109300 142090 163950 170508 213135 284180 327900 355225 426270 710450 728953 852540 1065675 1420900 1457906 2131350 2186859 2915812 3644765 4262700 4373718 7289530 8747436 9476389 10934295 14579060 18223825 18952778 21868590 28429167 36447650 37905556 43737180 47381945 54671475 56858334 72895300 94763890 109342950 113716668 142145835 189527780 218685900 236909725 284291670 473819450 568583340 710729175 796745629 947638900 1421458350 1593491258 2390236887 2842916700 3186982516 3983728145 4780473774 7967456290 9560947548 10357693177 11951184435 15934912580 19918640725 20715386354 23902368870 31073079531 39837281450 41430772708 47804737740 51788465885 59755922175 62146159062 79674562900 103576931770 119511844350 124292318124 155365397655 207153863540 239023688700 258942329425 310730795310 517884658850 621461590620 776826988275 1035769317700 1553653976550 3107307953100