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13131303324 = 2233280333359
BaseRepresentation
bin11000011101010111…
…11100100110011100
31020220010212022202120
430032223330212130
5203343103201244
610011001222540
7643256144106
oct141653744634
936803768676
1013131303324
1156293075a7
122665791a50
131313655789
148c7d88576
1551cc3b819
hex30eafc99c

13131303324 has 24 divisors (see below), whose sum is σ = 30641560320. Its totient is φ = 4376836464.

The previous prime is 13131303307. The next prime is 13131303337. The reversal of 13131303324 is 42330313131.

It is a happy number.

It is a super-2 number, since 2×131313033242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13131303294 and 13131303303.

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 7 ways as a sum of consecutive naturals, for example, 376957 + ... + 410315.

It is an arithmetic number, because the mean of its divisors is an integer number (1276731680).

Almost surely, 213131303324 is an apocalyptic number.

It is an amenable number.

13131303324 is an abundant number, since it is smaller than the sum of its proper divisors (17510256996).

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

13131303324 is a wasteful number, since it uses less digits than its factorization.

13131303324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66169 (or 66167 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13131303324 its reverse (42330313131), we get a palindrome (55461616455).

The spelling of 13131303324 in words is "thirteen billion, one hundred thirty-one million, three hundred three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 32803 33359 65606 66718 98409 100077 131212 133436 196818 200154 393636 400308 1094275277 2188550554 3282825831 4377101108 6565651662 13131303324