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131133310 = 25721124329
BaseRepresentation
bin1111101000011…
…10111101111110
3100010202021002021
413310032331332
5232032231220
621002350354
73151420600
oct764167576
9303667067
10131133310
1168026440
1237abb3ba
1321224599
14135b7170
15b7a44aa
hex7d0ef7e

131133310 has 48 divisors (see below), whose sum is σ = 299550960. Its totient is φ = 40871040.

The previous prime is 131133287. The next prime is 131133329. The reversal of 131133310 is 13331131.

It is a super-2 number, since 2×1311333102 = 34391889983112200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6775 + ... + 17554.

It is an arithmetic number, because the mean of its divisors is an integer number (6240645).

Almost surely, 2131133310 is an apocalyptic number.

131133310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131133310 is an abundant number, since it is smaller than the sum of its proper divisors (168417650).

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

131133310 is a wasteful number, since it uses less digits than its factorization.

131133310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24361 (or 24354 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 131133310 is about 11451.3453358110. The cubic root of 131133310 is about 508.0475263985.

Adding to 131133310 its reverse (13331131), we get a palindrome (144464441).

The spelling of 131133310 in words is "one hundred thirty-one million, one hundred thirty-three thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 385 490 539 770 1078 2695 5390 24329 48658 121645 170303 243290 267619 340606 535238 851515 1192121 1338095 1703030 1873333 2384242 2676190 3746666 5960605 9366665 11921210 13113331 18733330 26226662 65566655 131133310