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10100311100 = 2252119182101
BaseRepresentation
bin10010110100000011…
…01000010000111100
3222001220111222002022
421122001220100330
5131141134423400
64350124415312
7505203141065
oct113201502074
928056458068
1010100311100
1143133a9250
121b5a6a7538
13c4c70c759
146bb5d556c
153e1ac4b85
hex25a06843c

10100311100 has 36 divisors (see below), whose sum is σ = 23910193608. Its totient is φ = 3672840000.

The previous prime is 10100311093. The next prime is 10100311121. The reversal of 10100311100 is 111300101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4589951 + ... + 4592150.

Almost surely, 210100311100 is an apocalyptic number.

10100311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100311100 is an abundant number, since it is smaller than the sum of its proper divisors (13809882508).

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

10100311100 is a wasteful number, since it uses less digits than its factorization.

10100311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9182126 (or 9182119 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10100311100 its reverse (111300101), we get a palindrome (10211611201).

The spelling of 10100311100 in words is "ten billion, one hundred million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 9182101 18364202 36728404 45910505 91821010 101003111 183642020 202006222 229552525 404012444 459105050 505015555 918210100 1010031110 2020062220 2525077775 5050155550 10100311100