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21202110100 = 2252409518389
BaseRepresentation
bin10011101111101111…
…101000011010010100
32000201121111210022001
4103233233220122110
5321410220010400
613423510445044
71350256651033
oct235757503224
960647453261
1021202110100
118aa0047146
124138663784
131ccb75a6a2
141051c0471a
15841571a6a
hex4efbe8694

21202110100 has 36 divisors (see below), whose sum is σ = 46121158300. Its totient is φ = 8460092160.

The previous prime is 21202110077. The next prime is 21202110103. The reversal of 21202110100 is 101120212.

It can be written as a sum of positive squares in 6 ways, for example, as 751966084 + 20450144016 = 27422^2 + 143004^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21202110103) 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, 218295 + ... + 300094.

Almost surely, 221202110100 is an apocalyptic number.

21202110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21202110100 is an abundant number, since it is smaller than the sum of its proper divisors (24919048200).

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

21202110100 is a wasteful number, since it uses less digits than its factorization.

21202110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518812 (or 518805 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21202110100 its reverse (101120212), we get a palindrome (21303230312).

The spelling of 21202110100 in words is "twenty-one billion, two hundred two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 409 818 1636 2045 4090 8180 10225 20450 40900 518389 1036778 2073556 2591945 5183890 10367780 12959725 25919450 51838900 212021101 424042202 848084404 1060105505 2120211010 4240422020 5300527525 10601055050 21202110100