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131213310 = 23517257281
BaseRepresentation
bin1111101001000…
…10011111111110
3100010220022211020
413310202133332
5232042311220
621004205010
73152203044
oct764423776
9303808736
10131213310
1168080558
1237b39766
1321251b17
14135d8394
15b7bd040
hex7d227fe

131213310 has 32 divisors (see below), whose sum is σ = 333437472. Its totient is φ = 32931840.

The previous prime is 131213281. The next prime is 131213317. The reversal of 131213310 is 13312131.

It is a super-2 number, since 2×1312133102 = 34433865442312200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131213310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131213317) 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, 128131 + ... + 129150.

It is an arithmetic number, because the mean of its divisors is an integer number (10419921).

Almost surely, 2131213310 is an apocalyptic number.

131213310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131213310 is an abundant number, since it is smaller than the sum of its proper divisors (202224162).

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

131213310 is a wasteful number, since it uses less digits than its factorization.

131213310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257308.

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

The square root of 131213310 is about 11454.8378425886. The cubic root of 131213310 is about 508.1508196040.

Adding to 131213310 its reverse (13312131), we get a palindrome (144525441).

The spelling of 131213310 in words is "one hundred thirty-one million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 257281 514562 771843 1286405 1543686 2572810 3859215 4373777 7718430 8747554 13121331 21868885 26242662 43737770 65606655 131213310