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100104242130 = 23255935595297
BaseRepresentation
bin101110100111010101…
…1011000001111010010
3100120101102210101120100
41131032223120033102
53120003141222010
6113553125153230
710142451006264
oct1351653301722
9316342711510
10100104242130
11394aa264822
121749885b816
1395942aa089
144bb8c37b34
15290d47b2c0
hex174ead83d2

100104242130 has 96 divisors (see below), whose sum is σ = 264806755200. Its totient is φ = 26229689856.

The previous prime is 100104242129. The next prime is 100104242153. The reversal of 100104242130 is 31242401001.

100104242130 is a `hidden beast` number, since 100 + 10 + 424 + 2 + 130 = 666.

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

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, 18895642 + ... + 18900938.

It is an arithmetic number, because the mean of its divisors is an integer number (2758403700).

Almost surely, 2100104242130 is an apocalyptic number.

100104242130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100104242130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132403377600).

100104242130 is an abundant number, since it is smaller than the sum of its proper divisors (164702513070).

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

100104242130 is a wasteful number, since it uses less digits than its factorization.

100104242130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8928 (or 8925 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100104242130 its reverse (31242401001), we get a palindrome (131346643131).

The spelling of 100104242130 in words is "one hundred billion, one hundred four million, two hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 885 1062 1770 2655 3559 5297 5310 7118 10594 10677 15891 17795 21354 26485 31782 32031 35590 47673 52970 53385 64062 79455 95346 106770 158910 160155 209981 238365 312523 320310 419962 476730 625046 629943 937569 1049905 1259886 1562615 1875138 1889829 2099810 2812707 3125230 3149715 3779658 4687845 5625414 6299430 9375690 9449145 14063535 18852023 18898290 28127070 37704046 56556069 94260115 113112138 169668207 188520230 282780345 339336414 565560690 848341035 1112269357 1696682070 2224538714 3336808071 5561346785 6673616142 10010424213 11122693570 16684040355 20020848426 33368080710 50052121065 100104242130