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100111200222 = 231119479166667
BaseRepresentation
bin101110100111100010…
…1111010111111011110
3100120101220212220021110
41131033011322333132
53120011431401342
6113553534242450
710142564106255
oct1351705727736
9316356786243
10100111200222
1139503187510
121749b056426
1395958751a7
144bb9b2979c
15290dda2c9c
hex174f17afde

100111200222 has 64 divisors (see below), whose sum is σ = 230401843200. Its totient is φ = 28679885280.

The previous prime is 100111200197. The next prime is 100111200229. The reversal of 100111200222 is 222002111001.

100111200222 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100111200198 and 100111200207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111200229) 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, 517333 + ... + 683999.

It is an arithmetic number, because the mean of its divisors is an integer number (3600028800).

Almost surely, 2100111200222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111200222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115200921600).

100111200222 is an abundant number, since it is smaller than the sum of its proper divisors (130290642978).

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

100111200222 is a wasteful number, since it uses less digits than its factorization.

100111200222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167181.

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

Adding to 100111200222 its reverse (222002111001), we get a palindrome (322113311223).

The spelling of 100111200222 in words is "one hundred billion, one hundred eleven million, two hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 479 627 958 1254 1437 2874 5269 9101 10538 15807 18202 27303 31614 54606 100111 166667 200222 300333 333334 500001 600666 1000002 1833337 3166673 3666674 5500011 6333346 9500019 11000022 19000038 34833403 69666806 79833493 104500209 159666986 209000418 239500479 479000958 878168423 1516836367 1756336846 2634505269 3033672734 4550509101 5269010538 9101018202 16685200037 33370400074 50055600111 100111200222