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10131033100 = 2252234404797
BaseRepresentation
bin10010110111101101…
…10100110000001100
3222011001022210202011
421123312310300030
5131222021024400
64353143111004
7506025234436
oct113366646014
928131283664
1010131033100
114329782131
121b68a42464
13c55ba8256
146c1711656
153e46428ba
hex25bdb4c0c

10131033100 has 36 divisors (see below), whose sum is σ = 22940187984. Its totient is φ = 3876220480.

The previous prime is 10131033071. The next prime is 10131033113. The reversal of 10131033100 is 133013101.

It is a happy number.

10131033100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101310331002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2200099 + ... + 2204698.

It is an arithmetic number, because the mean of its divisors is an integer number (637227444).

Almost surely, 210131033100 is an apocalyptic number.

10131033100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131033100 is an abundant number, since it is smaller than the sum of its proper divisors (12809154884).

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

10131033100 is a wasteful number, since it uses less digits than its factorization.

10131033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404834 (or 4404827 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10131033100 its reverse (133013101), we get a palindrome (10264046201).

The spelling of 10131033100 in words is "ten billion, one hundred thirty-one million, thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 4404797 8809594 17619188 22023985 44047970 88095940 101310331 110119925 202620662 220239850 405241324 440479700 506551655 1013103310 2026206620 2532758275 5065516550 10131033100