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331320111232 = 27111092158831
BaseRepresentation
bin1001101001001000011…
…01111011000010000000
31011200012021020112021211
410310210031323002000
520412020422024412
6412112323455504
732636264323105
oct4644415730200
91150167215254
10331320111232
1111856a624450
1254266527594
13253218508c6
1412070a24aac
15894214bca7
hex4d2437b080

331320111232 has 64 divisors (see below), whose sum is σ = 726662851200. Its totient is φ = 149218329600.

The previous prime is 331320111179. The next prime is 331320111259. The reversal of 331320111232 is 232111023133.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3313201112322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 925944 + ... + 1232887.

It is an arithmetic number, because the mean of its divisors is an integer number (11354107050).

Almost surely, 2331320111232 is an apocalyptic number.

331320111232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331320111232 is an abundant number, since it is smaller than the sum of its proper divisors (395342739968).

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

331320111232 is a wasteful number, since it uses less digits than its factorization.

331320111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158965 (or 2158953 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 331320111232 its reverse (232111023133), we get a palindrome (563431134365).

The spelling of 331320111232 in words is "three hundred thirty-one billion, three hundred twenty million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 109 128 176 218 352 436 704 872 1199 1408 1744 2398 3488 4796 6976 9592 13952 19184 38368 76736 153472 2158831 4317662 8635324 17270648 23747141 34541296 47494282 69082592 94988564 138165184 189977128 235312579 276330368 379954256 470625158 759908512 941250316 1519817024 1882500632 2588438369 3039634048 3765001264 5176876738 7530002528 10353753476 15060005056 20707506952 30120010112 41415013904 82830027808 165660055616 331320111232