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13131252 = 22322315859
BaseRepresentation
bin110010000101…
…110111110100
3220201010200200
4302011313310
511330200002
61145240500
7216420351
oct62056764
926633620
1013131252
117459782
124493130
132949b94
141a5b628
151245b1c
hexc85df4

13131252 has 36 divisors (see below), whose sum is σ = 34638240. Its totient is φ = 4186512.

The previous prime is 13131241. The next prime is 13131257. The reversal of 13131252 is 25213131.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131257) 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 11 ways as a sum of consecutive naturals, for example, 7102 + ... + 8757.

Almost surely, 213131252 is an apocalyptic number.

13131252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13131252 is an abundant number, since it is smaller than the sum of its proper divisors (21506988).

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

13131252 is a wasteful number, since it uses less digits than its factorization.

13131252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15892 (or 15887 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 13131252 is about 3623.7069417932. The cubic root of 13131252 is about 235.9221470676.

Adding to 13131252 its reverse (25213131), we get a palindrome (38344383).

It can be divided in two parts, 1 and 3131252, that added together give a triangular number (3131253 = T2502).

The spelling of 13131252 in words is "thirteen million, one hundred thirty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 15859 31718 47577 63436 95154 142731 190308 285462 364757 570924 729514 1094271 1459028 2188542 3282813 4377084 6565626 13131252