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131112330 = 23517318293
BaseRepresentation
bin1111101000010…
…01110110001010
3100010201012022020
413310021312022
5232031043310
621002105310
73151302456
oct764116612
9303635266
10131112330
11680116a8
1237aab236
1321217b7b
14135ad666
15b79d170
hex7d09d8a

131112330 has 64 divisors (see below), whose sum is σ = 343968768. Its totient is φ = 31841280.

The previous prime is 131112329. The next prime is 131112341. The reversal of 131112330 is 33211131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11664 + ... + 19956.

It is an arithmetic number, because the mean of its divisors is an integer number (5374512).

Almost surely, 2131112330 is an apocalyptic number.

131112330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131112330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171984384).

131112330 is an abundant number, since it is smaller than the sum of its proper divisors (212856438).

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

131112330 is a wasteful number, since it uses less digits than its factorization.

131112330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8351.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 131112330 is about 11450.4292495958. The cubic root of 131112330 is about 508.0204308025.

Adding to 131112330 its reverse (33211131), we get a palindrome (164323461).

The spelling of 131112330 in words is "one hundred thirty-one million, one hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 930 1054 1581 2635 3162 5270 7905 8293 15810 16586 24879 41465 49758 82930 124395 140981 248790 257083 281962 422943 514166 704905 771249 845886 1285415 1409810 1542498 2114715 2570830 3856245 4229430 4370411 7712490 8740822 13111233 21852055 26222466 43704110 65556165 131112330