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100110012222 = 23113789460619
BaseRepresentation
bin101110100111100000…
…1011000111100111110
3100120101211122112122110
41131033001120330332
53120011130342342
6113553452554450
710142551030563
oct1351701307476
9316354575573
10100110012222
11395025459a0
121749a782a26
13959554a52c
144bb98da86a
15290dc1ac9c
hex174f058f3e

100110012222 has 64 divisors (see below), whose sum is σ = 226846137600. Its totient is φ = 29184756480.

The previous prime is 100110012181. The next prime is 100110012239. The reversal of 100110012222 is 222210011001.

It is a junction number, because it is equal to n+sod(n) for n = 100110012198 and 100110012207.

It is a congruent number.

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, 12972 + ... + 447647.

It is an arithmetic number, because the mean of its divisors is an integer number (3544470900).

Almost surely, 2100110012222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110012222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113423068800).

100110012222 is an abundant number, since it is smaller than the sum of its proper divisors (126736125378).

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

100110012222 is a wasteful number, since it uses less digits than its factorization.

100110012222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460761.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100110012222 its reverse (222210011001), we get a palindrome (322320023223).

It can be divided in two parts, 10011001 and 2222, that multiplied together give a palindrome (22244444222).

The spelling of 100110012222 in words is "one hundred billion, one hundred ten million, twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 89 111 178 222 267 407 534 814 979 1221 1958 2442 2937 3293 5874 6586 9879 19758 36223 72446 108669 217338 460619 921238 1381857 2763714 5066809 10133618 15200427 17042903 30400854 34085806 40995091 51128709 81990182 102257418 122985273 187471933 245970546 374943866 450946001 562415799 901892002 1124831598 1352838003 1516818367 2705676006 3033636734 4550455101 9100910202 16685002037 33370004074 50055006111 100110012222