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10131110220 = 223571117128993
BaseRepresentation
bin10010110111101110…
…00111100101001100
3222011001110201112110
421123313013211030
5131222031011340
64353144504020
7506026005330
oct113367074514
928131421473
1010131110220
114329825070
121b68a7b010
13c55c0439a
146c17317c0
153e465a680
hex25bdc794c

10131110220 has 192 divisors, whose sum is σ = 37447474176. Its totient is φ = 1981317120.

The previous prime is 10131110147. The next prime is 10131110243. The reversal of 10131110220 is 2201113101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10131110196 and 10131110205.

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 63 ways as a sum of consecutive naturals, for example, 14044 + ... + 143036.

It is an arithmetic number, because the mean of its divisors is an integer number (195038928).

Almost surely, 210131110220 is an apocalyptic number.

10131110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18723737088).

10131110220 is an abundant number, since it is smaller than the sum of its proper divisors (27316363956).

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

10131110220 is a wasteful number, since it uses less digits than its factorization.

10131110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129040 (or 129038 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10131110220 its reverse (2201113101), we get a palindrome (12332223321).

The spelling of 10131110220 in words is "ten billion, one hundred thirty-one million, one hundred ten thousand, two hundred twenty".