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13131331332 = 2237241648653
BaseRepresentation
bin11000011101011000…
…00011011100000100
31020220010220202011220
430032230003130010
5203343110100312
610011002000340
7643256321550
oct141654033404
936803822156
1013131331332
115629326649
1226657a60b0
131313665452
148c7d94860
1551cc44c8c
hex30eb03704

13131331332 has 48 divisors (see below), whose sum is σ = 35162236032. Its totient is φ = 3736235520.

The previous prime is 13131331331. The next prime is 13131331349. The reversal of 13131331332 is 23313313131.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13131331331) 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, 304083 + ... + 344570.

It is an arithmetic number, because the mean of its divisors is an integer number (732546584).

Almost surely, 213131331332 is an apocalyptic number.

13131331332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13131331332 is an abundant number, since it is smaller than the sum of its proper divisors (22030904700).

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

13131331332 is a wasteful number, since it uses less digits than its factorization.

13131331332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648908 (or 648906 counting only the distinct ones).

The product of its digits is 1458, while the sum is 24.

Adding to 13131331332 its reverse (23313313131), we get a palindrome (36444644463).

The spelling of 13131331332 in words is "thirteen billion, one hundred thirty-one million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 241 482 723 964 1446 1687 2892 3374 5061 6748 10122 20244 648653 1297306 1945959 2594612 3891918 4540571 7783836 9081142 13621713 18162284 27243426 54486852 156325373 312650746 468976119 625301492 937952238 1094277611 1875904476 2188555222 3282832833 4377110444 6565665666 13131331332