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13312224450 = 2345274372
BaseRepresentation
bin11000110010111100…
…00110110011000010
31021100202022001220000
430121132012303002
5204230412140300
610040543100430
7650614020000
oct143136066302
937322261800
1013312224450
115711449298
1226b62a1716
131341c8c9b5
14904001a70
1552da77c00
hex319786cc2

13312224450 has 450 divisors, whose sum is σ = 44348151771. Its totient is φ = 2960556480.

The previous prime is 13312224433. The next prime is 13312224479. The reversal of 13312224450 is 5442221331.

It can be written as a sum of positive squares in 5 ways, for example, as 10558179009 + 2754045441 = 102753^2 + 52479^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=81585.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 359789832 + ... + 359789868.

Almost surely, 213312224450 is an apocalyptic number.

13312224450 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 13312224450

13312224450 is an abundant number, since it is smaller than the sum of its proper divisors (31035927321).

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

13312224450 is an frugal number, since it uses more digits than its factorization.

13312224450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 13312224450 its reverse (5442221331), we get a palindrome (18754445781).

The spelling of 13312224450 in words is "thirteen billion, three hundred twelve million, two hundred twenty-four thousand, four hundred fifty".