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13221322332 = 2233733189963
BaseRepresentation
bin11000101000000110…
…10101111001011100
31021010102020202121220
430110003111321130
5204034124303312
610023534453340
7645431246151
oct142403257134
937112222556
1013221322332
115675101179
12268b964250
1313291b326a
148d5cdc228
15525abdc8c
hex3140d5e5c

13221322332 has 48 divisors (see below), whose sum is σ = 31779603072. Its totient is φ = 4274994240.

The previous prime is 13221322327. The next prime is 13221322333. The reversal of 13221322332 is 23322312231.

It is a super-3 number, since 3×132213223323 (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221322333) 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, 101983 + ... + 191945.

It is an arithmetic number, because the mean of its divisors is an integer number (662075064).

Almost surely, 213221322332 is an apocalyptic number.

13221322332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13221322332 is an abundant number, since it is smaller than the sum of its proper divisors (18558280740).

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

13221322332 is a wasteful number, since it uses less digits than its factorization.

13221322332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90338 (or 90336 counting only the distinct ones).

The product of its digits is 2592, while the sum is 24.

Adding to 13221322332 its reverse (23322312231), we get a palindrome (36543634563).

The spelling of 13221322332 in words is "thirteen billion, two hundred twenty-one million, three hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 331 444 662 993 1324 1986 3972 12247 24494 36741 48988 73482 89963 146964 179926 269889 359852 539778 1079556 3328631 6657262 9985893 13314524 19971786 29777753 39943572 59555506 89333259 119111012 178666518 357333036 1101776861 2203553722 3305330583 4407107444 6610661166 13221322332