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21080136100 = 2252145192
BaseRepresentation
bin10011101000011110…
…010101100110100100
32000102002222212102111
4103220132111212210
5321133003323400
613403432250404
71344246125512
oct235036254644
960362885374
1021080136100
118a38207291
124103840a04
131cac3c211a
14103d9334b2
158359cb3ba
hex4e87959a4

21080136100 has 27 divisors (see below), whose sum is σ = 45747046177. Its totient is φ = 8431473680.

The previous prime is 21080136097. The next prime is 21080136107. The reversal of 21080136100 is 163108012.

The square root of 21080136100 is 145190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7588848996 + 13491287104 = 87114^2 + 116152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21080136107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1444641 + ... + 1459159.

Almost surely, 221080136100 is an apocalyptic number.

21080136100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21080136100 is the 145190-th square number.

It is an amenable number.

21080136100 is an abundant number, since it is smaller than the sum of its proper divisors (24666910077).

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

21080136100 is an frugal number, since it uses more digits than its factorization.

21080136100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29052 (or 14526 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 21080136100 in words is "twenty-one billion, eighty million, one hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 14519 29038 58076 72595 145190 290380 362975 725950 1451900 210801361 421602722 843205444 1054006805 2108013610 4216027220 5270034025 10540068050 21080136100