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102222111100 = 22528327674451
BaseRepresentation
bin101111100110011101…
…0011010000101111100
3100202212000221021121211
41133030322122011330
53133322330023400
6114543222334204
710246105415344
oct1371472320574
9322760837554
10102222111100
113a39679805a
1217989b8a364
139840cb3395
144d3a215d24
1529d4372dba
hex17cce9a17c

102222111100 has 72 divisors (see below), whose sum is σ = 224626123008. Its totient is φ = 40372536000.

The previous prime is 102222111077. The next prime is 102222111139. The reversal of 102222111100 is 1111222201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22963875 + ... + 22968325.

It is an arithmetic number, because the mean of its divisors is an integer number (3119807264).

Almost surely, 2102222111100 is an apocalyptic number.

102222111100 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 102222111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112313061504).

102222111100 is an abundant number, since it is smaller than the sum of its proper divisors (122404011908).

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

102222111100 is a wasteful number, since it uses less digits than its factorization.

102222111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7315 (or 7308 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102222111100 its reverse (1111222201), we get a palindrome (103333333301).

The spelling of 102222111100 in words is "one hundred two billion, two hundred twenty-two million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 2767 4150 4451 5534 8300 8902 11068 13835 17804 22255 27670 44510 55340 69175 89020 111275 138350 222550 229661 276700 369433 445100 459322 738866 918644 1148305 1477732 1847165 2296610 3694330 4593220 5741525 7388660 9235825 11483050 12315917 18471650 22966100 24631834 36943300 49263668 61579585 123159170 246318340 307897925 615795850 1022221111 1231591700 2044442222 4088884444 5111105555 10222211110 20444422220 25555527775 51111055550 102222111100