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10131133100 = 2252119210121
BaseRepresentation
bin10010110111101110…
…01101001010101100
3222011001111212220212
421123313031022230
5131222032224400
64353145201552
7506026132124
oct113367151254
928131455825
1010131133100
114329840280
121b68a902b8
13c55c1191a
146c1739c84
153e4662335
hex25bdcd2ac

10131133100 has 36 divisors (see below), whose sum is σ = 23983157688. Its totient is φ = 3684048000.

The previous prime is 10131133097. The next prime is 10131133141. The reversal of 10131133100 is 133113101.

It is a happy number.

It is a super-2 number, since 2×101311331002 (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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4603961 + ... + 4606160.

Almost surely, 210131133100 is an apocalyptic number.

10131133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131133100 is an abundant number, since it is smaller than the sum of its proper divisors (13852024588).

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

10131133100 is a wasteful number, since it uses less digits than its factorization.

10131133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9210146 (or 9210139 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10131133100 its reverse (133113101), we get a palindrome (10264246201).

The spelling of 10131133100 in words is "ten billion, one hundred thirty-one million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 9210121 18420242 36840484 46050605 92101210 101311331 184202420 202622662 230253025 405245324 460506050 506556655 921012100 1013113310 2026226620 2532783275 5065566550 10131133100