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10131331020 = 22358912714939
BaseRepresentation
bin10010110111101111…
…11101011111001100
3222011001212221102020
421123313331133030
5131222110043040
64353153330140
7506030615136
oct113367753714
928131787366
1010131331020
114329965a48
121b68b66950
13c55c80a35
146c178c056
153e46a0cd0
hex25bdfd7cc

10131331020 has 96 divisors (see below), whose sum is σ = 28914278400. Its totient is φ = 2650120704.

The previous prime is 10131330991. The next prime is 10131331027. The reversal of 10131331020 is 2013313101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (10131331027) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 670711 + ... + 685649.

It is an arithmetic number, because the mean of its divisors is an integer number (301190400).

Almost surely, 210131331020 is an apocalyptic number.

10131331020 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 10131331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14457139200).

10131331020 is an abundant number, since it is smaller than the sum of its proper divisors (18782947380).

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

10131331020 is a wasteful number, since it uses less digits than its factorization.

10131331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15167 (or 15165 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10131331020 its reverse (2013313101), we get a palindrome (12144644121).

The spelling of 10131331020 in words is "ten billion, one hundred thirty-one million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 127 178 254 267 356 381 445 508 534 635 762 890 1068 1270 1335 1524 1780 1905 2540 2670 3810 5340 7620 11303 14939 22606 29878 33909 44817 45212 56515 59756 67818 74695 89634 113030 135636 149390 169545 179268 224085 226060 298780 339090 448170 678180 896340 1329571 1897253 2659142 3794506 3988713 5318284 5691759 6647855 7589012 7977426 9486265 11383518 13295710 15954852 18972530 19943565 22767036 26591420 28458795 37945060 39887130 56917590 79774260 113835180 168855517 337711034 506566551 675422068 844277585 1013133102 1688555170 2026266204 2532832755 3377110340 5065665510 10131331020