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131454312 = 233111973359
BaseRepresentation
bin1111101010111…
…01010101101000
3100011100120102020
413311131111220
5232123014222
621013304440
73154225503
oct765352550
9304316366
10131454312
1168225630
1238035120
1321307722
141365c13a
15b81965c
hex7d5d568

131454312 has 128 divisors (see below), whose sum is σ = 383616000. Its totient is φ = 37117440.

The previous prime is 131454259. The next prime is 131454317. The reversal of 131454312 is 213454131.

It is a happy number.

It is a super-2 number, since 2×1314543122 = 34560472286786688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131454317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365989 + ... + 366347.

It is an arithmetic number, because the mean of its divisors is an integer number (2997000).

Almost surely, 2131454312 is an apocalyptic number.

131454312 is a gapful number since it is divisible by the number (12) 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 131454312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191808000).

131454312 is an abundant number, since it is smaller than the sum of its proper divisors (252161688).

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

131454312 is a wasteful number, since it uses less digits than its factorization.

131454312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 467 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 131454312 is about 11465.3526766515. The cubic root of 131454312 is about 508.4617394389.

The spelling of 131454312 in words is "one hundred thirty-one million, four hundred fifty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 73 76 88 114 132 146 152 209 219 228 264 292 359 418 438 456 584 627 718 803 836 876 1077 1254 1387 1436 1606 1672 1752 2154 2409 2508 2774 2872 3212 3949 4161 4308 4818 5016 5548 6424 6821 7898 8322 8616 9636 11096 11847 13642 15257 15796 16644 19272 20463 23694 26207 27284 30514 31592 33288 40926 45771 47388 52414 54568 61028 75031 78621 81852 91542 94776 104828 122056 150062 157242 163704 183084 209656 225093 288277 300124 314484 366168 450186 497933 576554 600248 628968 864831 900372 995866 1153108 1493799 1729662 1800744 1991732 2306216 2987598 3459324 3983464 5477263 5975196 6918648 10954526 11950392 16431789 21909052 32863578 43818104 65727156 131454312