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102220122100 = 22523539288839
BaseRepresentation
bin101111100110011001…
…0110100011111110100
3100202211220012020020011
41133030302310133310
53133321322401400
6114543111550004
710246052462455
oct1371462643764
9322756166204
10102220122100
113a395659758
121798938b304
139840767c65
144d39c5912c
1529d40cd8ba
hex17cccb47f4

102220122100 has 36 divisors (see below), whose sum is σ = 221881111200. Its totient is φ = 40876353760.

The previous prime is 102220122089. The next prime is 102220122107. The reversal of 102220122100 is 1221022201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220122107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 209481 + ... + 498319.

It is an arithmetic number, because the mean of its divisors is an integer number (6163364200).

Almost surely, 2102220122100 is an apocalyptic number.

102220122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102220122100 is an abundant number, since it is smaller than the sum of its proper divisors (119660989100).

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

102220122100 is a wasteful number, since it uses less digits than its factorization.

102220122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292392 (or 292385 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102220122100 its reverse (1221022201), we get a palindrome (103441144301).

The spelling of 102220122100 in words is "one hundred two billion, two hundred twenty million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3539 7078 14156 17695 35390 70780 88475 176950 288839 353900 577678 1155356 1444195 2888390 5776780 7220975 14441950 28883900 1022201221 2044402442 4088804884 5111006105 10222012210 20444024420 25555030525 51110061050 102220122100