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10131324 = 2237294159
BaseRepresentation
bin100110101001…
…011101111100
3201001201120020
4212221131330
510043200244
61001052140
7152054250
oct46513574
921051506
1010131324
11579a8a5
123487050
132139588
1414ba260
15d51d19
hex9a977c

10131324 has 48 divisors (see below), whose sum is σ = 27955200. Its totient is φ = 2794176.

The previous prime is 10131323. The next prime is 10131349. The reversal of 10131324 is 42313101.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 357 + ... + 4515.

It is an arithmetic number, because the mean of its divisors is an integer number (582400).

Almost surely, 210131324 is an apocalyptic number.

10131324 is a gapful number since it is divisible by the number (14) 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 10131324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977600).

10131324 is an abundant number, since it is smaller than the sum of its proper divisors (17823876).

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

10131324 is a wasteful number, since it uses less digits than its factorization.

10131324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202 (or 4200 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 10131324 is about 3182.9740809501. The cubic root of 10131324 is about 216.3824670919.

Adding to 10131324 its reverse (42313101), we get a palindrome (52444425).

The spelling of 10131324 in words is "ten million, one hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 4159 8318 12477 16636 24954 29113 49908 58226 87339 116452 120611 174678 241222 349356 361833 482444 723666 844277 1447332 1688554 2532831 3377108 5065662 10131324