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10131013100 = 2252137793087
BaseRepresentation
bin10010110111101101…
…01111110111101100
3222011001021210022102
421123312233313230
5131222014404400
64353142434232
7506025122225
oct113366576754
928131253272
1010131013100
1143297690aa
121b68a32978
13c55b9c110
146c170824c
153e463b9d5
hex25bdafdec

10131013100 has 36 divisors (see below), whose sum is σ = 23675401344. Its totient is φ = 3740681280.

The previous prime is 10131013049. The next prime is 10131013129. The reversal of 10131013100 is 131013101.

It is a happy number.

It is a super-3 number, since 3×101310131003 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3895244 + ... + 3897843.

Almost surely, 210131013100 is an apocalyptic number.

10131013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131013100 is an abundant number, since it is smaller than the sum of its proper divisors (13544388244).

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

10131013100 is a wasteful number, since it uses less digits than its factorization.

10131013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7793114 (or 7793107 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10131013100 its reverse (131013101), we get a palindrome (10262026201).

Subtracting from 10131013100 its reverse (131013101), we obtain a palindrome (9999999999).

The spelling of 10131013100 in words is "ten billion, one hundred thirty-one million, thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 7793087 15586174 31172348 38965435 77930870 101310131 155861740 194827175 202620262 389654350 405240524 506550655 779308700 1013101310 2026202620 2532753275 5065506550 10131013100