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131145252 = 22373150363
BaseRepresentation
bin1111101000100…
…01111000100100
3100010202212110120
413310101320210
5232033122002
621002521540
73151500450
oct764217044
9303685416
10131145252
1168034407
1237b062b0
1321229b54
14135bb660
15b7a7cbc
hex7d11e24

131145252 has 48 divisors (see below), whose sum is σ = 361009152. Its totient is φ = 36260640.

The previous prime is 131145251. The next prime is 131145257. The reversal of 131145252 is 252541131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131145251) 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, 22578 + ... + 27785.

It is an arithmetic number, because the mean of its divisors is an integer number (7521024).

Almost surely, 2131145252 is an apocalyptic number.

131145252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131145252 is an abundant number, since it is smaller than the sum of its proper divisors (229863900).

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

131145252 is a wasteful number, since it uses less digits than its factorization.

131145252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50408 (or 50406 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 131145252 is about 11451.8667473910. The cubic root of 131145252 is about 508.0629481588.

Adding to 131145252 its reverse (252541131), we get a palindrome (383686383).

The spelling of 131145252 in words is "one hundred thirty-one million, one hundred forty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 1302 2604 50363 100726 151089 201452 302178 352541 604356 705082 1057623 1410164 1561253 2115246 3122506 4230492 4683759 6245012 9367518 10928771 18735036 21857542 32786313 43715084 65572626 131145252