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10130102000 = 245353227421
BaseRepresentation
bin10010110111100110…
…10001011011110000
3222010222120111111222
421123303101123300
5131221301231000
64353111124212
7506014306034
oct113363213360
928128514458
1010130102000
1143291a6627
121b68673668
13c559404c5
146c154c1c4
153e450ba85
hex25bcd16f0

10130102000 has 160 divisors (see below), whose sum is σ = 25126231104. Its totient is φ = 3948672000.

The previous prime is 10130101987. The next prime is 10130102009. The reversal of 10130102000 is 20103101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10130102009) 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, 24061790 + ... + 24062210.

Almost surely, 210130102000 is an apocalyptic number.

10130102000 is a gapful number since it is divisible by the number (10) 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 10130102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12563115552).

10130102000 is an abundant number, since it is smaller than the sum of its proper divisors (14996129104).

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

10130102000 is a wasteful number, since it uses less digits than its factorization.

10130102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 10130102000 its reverse (20103101), we get a palindrome (10150205101).

The spelling of 10130102000 in words is "ten billion, one hundred thirty million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 227 250 265 400 421 424 454 500 530 842 848 908 1000 1060 1135 1325 1684 1816 2000 2105 2120 2270 2650 3368 3632 4210 4240 4540 5300 5675 6625 6736 8420 9080 10525 10600 11350 12031 13250 16840 18160 21050 21200 22313 22700 24062 26500 28375 33680 42100 44626 45400 48124 52625 53000 56750 60155 84200 89252 90800 95567 96248 105250 106000 111565 113500 120310 168400 178504 191134 192496 210500 223130 227000 240620 300775 357008 382268 421000 446260 454000 477835 481240 557825 601550 764536 842000 892520 955670 962480 1115650 1203100 1503875 1529072 1785040 1911340 2231300 2389175 2406200 2789125 3007750 3822680 4462600 4778350 4812400 5065051 5578250 6015500 7645360 8925200 9556700 10130102 11156500 11945875 12031000 19113400 20260204 22313000 23891750 24062000 25325255 38226800 40520408 44626000 47783500 50650510 81040816 95567000 101301020 126626275 191134000 202602040 253252550 405204080 506505100 633131375 1013010200 1266262750 2026020400 2532525500 5065051000 10130102000