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10131002320 = 245193656153
BaseRepresentation
bin10010110111101101…
…01101001111010000
3222011001021020112011
421123312231033100
5131222014033240
64353142312304
7506025045625
oct113366551720
928131236464
1010131002320
114329760a9a
121b68a28694
13c55b9723a
146c170434c
153e46386ea
hex25bdad3d0

10131002320 has 40 divisors (see below), whose sum is σ = 23676660936. Its totient is φ = 4031397888.

The previous prime is 10131002317. The next prime is 10131002347. The reversal of 10131002320 is 2320013101.

It can be written as a sum of positive squares in 4 ways, for example, as 556771216 + 9574231104 = 23596^2 + 97848^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 10131002320.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 312637 + ... + 343516.

Almost surely, 210131002320 is an apocalyptic number.

10131002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131002320 is an abundant number, since it is smaller than the sum of its proper divisors (13545658616).

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

10131002320 is a wasteful number, since it uses less digits than its factorization.

10131002320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656359 (or 656353 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 10131002320 its reverse (2320013101), we get a palindrome (12451015421).

The spelling of 10131002320 in words is "ten billion, one hundred thirty-one million, two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 193 386 772 965 1544 1930 3088 3860 7720 15440 656153 1312306 2624612 3280765 5249224 6561530 10498448 13123060 26246120 52492240 126637529 253275058 506550116 633187645 1013100232 1266375290 2026200464 2532750580 5065501160 10131002320