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102212202100 = 22521022122021
BaseRepresentation
bin101111100110001010…
…0100110111001110100
3100202211100021212000211
41133030110212321310
53133312310431400
6114542230115204
710245625245211
oct1371424467164
9322740255024
10102212202100
113a39113a2a8
12179867abb04
13983bc24078
144d38b96b08
1529d3566dba
hex17cc526e74

102212202100 has 18 divisors (see below), whose sum is σ = 221800478774. Its totient is φ = 40884880800.

The previous prime is 102212202091. The next prime is 102212202121. The reversal of 102212202100 is 1202212201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11506423824 + 90705778276 = 107268^2 + 301174^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 511060911 + ... + 511061110.

Almost surely, 2102212202100 is an apocalyptic number.

102212202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212202100 is an abundant number, since it is smaller than the sum of its proper divisors (119588276674).

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

102212202100 is a wasteful number, since it uses less digits than its factorization.

102212202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022122035 (or 1022122028 counting only the distinct ones).

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

Adding to 102212202100 its reverse (1202212201), we get a palindrome (103414414301).

The spelling of 102212202100 in words is "one hundred two billion, two hundred twelve million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1022122021 2044244042 4088488084 5110610105 10221220210 20442440420 25553050525 51106101050 102212202100