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131014312 = 231113711613
BaseRepresentation
bin1111100111100…
…01111010101000
3100010112012211221
413303301322220
5232014424222
621000031424
73150413632
oct763617250
9303465757
10131014312
1167a54aa0
1237a62574
13211b2380
1413585a52
15b77e0c7
hex7cf1ea8

131014312 has 64 divisors (see below), whose sum is σ = 292844160. Its totient is φ = 54163200.

The previous prime is 131014309. The next prime is 131014313. The reversal of 131014312 is 213410131.

It is not an unprimeable number, because it can be changed into a prime (131014313) 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, 80418 + ... + 82030.

It is an arithmetic number, because the mean of its divisors is an integer number (4575690).

Almost surely, 2131014312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131014312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146422080).

131014312 is an abundant number, since it is smaller than the sum of its proper divisors (161829848).

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

131014312 is a wasteful number, since it uses less digits than its factorization.

131014312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 131014312 is about 11446.1483478068. The cubic root of 131014312 is about 507.8938025886.

Adding to 131014312 its reverse (213410131), we get a palindrome (344424443).

The spelling of 131014312 in words is "one hundred thirty-one million, fourteen thousand, three hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 44 52 71 88 104 142 143 284 286 568 572 781 923 1144 1562 1613 1846 3124 3226 3692 6248 6452 7384 10153 12904 17743 20306 20969 35486 40612 41938 70972 81224 83876 114523 141944 167752 229046 230659 458092 461318 916184 922636 1259753 1488799 1845272 2519506 2977598 5039012 5955196 10078024 11910392 16376789 32753578 65507156 131014312