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13322121132 = 2232068153681
BaseRepresentation
bin11000110100000111…
…10110111110101100
31021101102220212120210
430122003312332230
5204240430334012
610041535142420
7651064106205
oct143203667654
937342825523
1013322121132
115716a98871
1226b9674a10
131344046518
1490545a5ac
1552e88023c
hex31a0f6fac

13322121132 has 24 divisors (see below), whose sum is σ = 31087031472. Its totient is φ = 4440409600.

The previous prime is 13322121121. The next prime is 13322121167. The reversal of 13322121132 is 23112122331.

It is a super-2 number, since 2×133221211322 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13322121099 and 13322121108.

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, 221332 + ... + 275012.

It is an arithmetic number, because the mean of its divisors is an integer number (1295292978).

Almost surely, 213322121132 is an apocalyptic number.

13322121132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13322121132 is an abundant number, since it is smaller than the sum of its proper divisors (17764910340).

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

13322121132 is a wasteful number, since it uses less digits than its factorization.

13322121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74369 (or 74367 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 13322121132 its reverse (23112122331), we get a palindrome (36434243463).

The spelling of 13322121132 in words is "thirteen billion, three hundred twenty-two million, one hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 20681 41362 53681 62043 82724 107362 124086 161043 214724 248172 322086 644172 1110176761 2220353522 3330530283 4440707044 6661060566 13322121132