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100100110220 = 225114325142157
BaseRepresentation
bin101110100111001101…
…1100111011110001100
3100120101011000110122122
41131032123213132030
53120001112011340
6113552500432112
710142400620015
oct1351633473614
9316334013578
10100100110220
11394a79a2420
12174973a8638
139593491466
144bb848000c
15290ce11db5
hex174e6e778c

100100110220 has 96 divisors (see below), whose sum is σ = 235593743616. Its totient is φ = 35411040000.

The previous prime is 100100110219. The next prime is 100100110241. The reversal of 100100110220 is 22011001001.

It is a super-2 number, since 2×1001001102202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100100110198 and 100100110207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2353382 + ... + 2395538.

It is an arithmetic number, because the mean of its divisors is an integer number (2454101496).

Almost surely, 2100100110220 is an apocalyptic number.

100100110220 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 100100110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117796871808).

100100110220 is an abundant number, since it is smaller than the sum of its proper divisors (135493633396).

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

100100110220 is a wasteful number, since it uses less digits than its factorization.

100100110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42471 (or 42469 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100100110220 its reverse (22011001001), we get a palindrome (122111111221).

The spelling of 100100110220 in words is "one hundred billion, one hundred million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 251 430 473 502 860 946 1004 1255 1892 2365 2510 2761 4730 5020 5522 9460 10793 11044 13805 21586 27610 42157 43172 53965 55220 84314 107930 118723 168628 210785 215860 237446 421570 463727 474892 593615 843140 927454 1187230 1812751 1854908 2318635 2374460 3625502 4637270 7251004 9063755 9274540 10581407 18127510 19940261 21162814 36255020 39880522 42325628 52907035 79761044 99701305 105814070 116395477 199402610 211628140 232790954 398805220 455000501 465581908 581977385 910001002 1163954770 1820002004 2275002505 2327909540 4550005010 5005005511 9100010020 10010011022 20020022044 25025027555 50050055110 100100110220