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100420234120 = 23519769171823
BaseRepresentation
bin101110110000110000…
…0110010101110001000
3100121012110101110002101
41131201200302232020
53121130034442440
6114044334043144
710153335622603
oct1354140625610
9317173343071
10100420234120
1139651671228
12175666494b4
1396148b6b9b
144c08bb133a
15292b09869a
hex1761832b88

100420234120 has 64 divisors (see below), whose sum is σ = 238148064000. Its totient is φ = 38004277248.

The previous prime is 100420234069. The next prime is 100420234181. The reversal of 100420234120 is 21432024001.

It is a super-2 number, since 2×1004202341202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498529 + ... + 670351.

It is an arithmetic number, because the mean of its divisors is an integer number (3721063500).

Almost surely, 2100420234120 is an apocalyptic number.

100420234120 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 100420234120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119074032000).

100420234120 is an abundant number, since it is smaller than the sum of its proper divisors (137727829880).

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

100420234120 is a wasteful number, since it uses less digits than its factorization.

100420234120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172622 (or 172618 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 100420234120 its reverse (21432024001), we get a palindrome (121852258121).

The spelling of 100420234120 in words is "one hundred billion, four hundred twenty million, two hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 769 1538 3076 3845 6152 7690 14611 15380 29222 30760 58444 73055 116888 146110 171823 292220 343646 584440 687292 859115 1374584 1718230 3264637 3436460 6529274 6872920 13058548 16323185 26117096 32646370 65292740 130585480 132131887 264263774 528527548 660659435 1057055096 1321318870 2510505853 2642637740 5021011706 5285275480 10042023412 12552529265 20084046824 25105058530 50210117060 100420234120