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13312233424 = 247565721011
BaseRepresentation
bin11000110010111100…
…01000111111010000
31021100202022112012101
430121132020333100
5204230412432144
610040543210144
7650614055110
oct143136107720
937322275171
1013312233424
115711455006
1226b62a6954
131341c93ac9
14904005040
1552da7a6d4
hex319788fd0

13312233424 has 40 divisors (see below), whose sum is σ = 29483702208. Its totient is φ = 5703962880.

The previous prime is 13312233421. The next prime is 13312233427. The reversal of 13312233424 is 42433221331.

It is a happy number.

13312233424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13312233421) and next prime (13312233427).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13312233392 and 13312233401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312233421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 623079 + ... + 644089.

Almost surely, 213312233424 is an apocalyptic number.

13312233424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13312233424 is an abundant number, since it is smaller than the sum of its proper divisors (16171468784).

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

13312233424 is a wasteful number, since it uses less digits than its factorization.

13312233424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26683 (or 26677 counting only the distinct ones).

The product of its digits is 10368, while the sum is 28.

Adding to 13312233424 its reverse (42433221331), we get a palindrome (55745454755).

The spelling of 13312233424 in words is "thirteen billion, three hundred twelve million, two hundred thirty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 5657 11314 21011 22628 39599 42022 45256 79198 84044 90512 147077 158396 168088 294154 316792 336176 588308 633584 1176616 2353232 118859227 237718454 475436908 832014589 950873816 1664029178 1901747632 3328058356 6656116712 13312233424