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10131320 = 2351747317
BaseRepresentation
bin100110101001…
…011101111000
3201001201120002
4212221131320
510043200240
61001052132
7152054243
oct46513570
921051502
1010131320
11579a8a1
123487048
132139584
1414ba25a
15d51d15
hex9a9778

10131320 has 64 divisors (see below), whose sum is σ = 24727680. Its totient is φ = 3721216.

The previous prime is 10131311. The next prime is 10131323. The reversal of 10131320 is 2313101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31802 + ... + 32118.

It is an arithmetic number, because the mean of its divisors is an integer number (386370).

Almost surely, 210131320 is an apocalyptic number.

10131320 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 10131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12363840).

10131320 is an abundant number, since it is smaller than the sum of its proper divisors (14596360).

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

10131320 is a wasteful number, since it uses less digits than its factorization.

10131320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 10131320 is about 3182.9734526069. The cubic root of 10131320 is about 216.3824386148.

Adding to 10131320 its reverse (2313101), we get a palindrome (12444421).

The spelling of 10131320 in words is "ten million, one hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 47 68 85 94 136 170 188 235 317 340 376 470 634 680 799 940 1268 1585 1598 1880 2536 3170 3196 3995 5389 6340 6392 7990 10778 12680 14899 15980 21556 26945 29798 31960 43112 53890 59596 74495 107780 119192 148990 215560 253283 297980 506566 595960 1013132 1266415 2026264 2532830 5065660 10131320