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131213264 = 24713227397
BaseRepresentation
bin1111101001000…
…10011111010000
3100010220022202112
413310202133100
5232042311024
621004204452
73152202650
oct764423720
9303808675
10131213264
1168080516
1237b39728
1321251ab0
14135d8360
15b7bd00e
hex7d227d0

131213264 has 80 divisors (see below), whose sum is σ = 315063168. Its totient is φ = 51549696.

The previous prime is 131213261. The next prime is 131213279. The reversal of 131213264 is 462312131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131213261) 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, 330314 + ... + 330710.

Almost surely, 2131213264 is an apocalyptic number.

131213264 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 131213264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157531584).

131213264 is an abundant number, since it is smaller than the sum of its proper divisors (183849904).

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

131213264 is a wasteful number, since it uses less digits than its factorization.

131213264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 646 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 131213264 is about 11454.8358347032. The cubic root of 131213264 is about 508.1507602224.

Adding to 131213264 its reverse (462312131), we get a palindrome (593525395).

The spelling of 131213264 in words is "one hundred thirty-one million, two hundred thirteen thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 227 364 397 454 728 794 908 1456 1588 1589 1816 2779 2951 3176 3178 3632 5161 5558 5902 6352 6356 10322 11116 11804 12712 20644 20657 22232 23608 25424 36127 41288 41314 44464 47216 72254 82576 82628 90119 144508 165256 180238 289016 330512 360476 578032 630833 720952 1171547 1261666 1441904 2343094 2523332 4686188 5046664 8200829 9372376 10093328 16401658 18744752 32803316 65606632 131213264