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13212123232032 = 253245875427889
BaseRepresentation
bin1100000001000010111111…
…1010010111011100100000
31201210001210120210012200200
43000100233322113130200
53212431412021411112
644033322101345200
72532354505334244
oct300205772273440
951701716705620
1013212123232032
11423425914161a
121594721408200
1374ab8982816a
14339682242424
1517da270becdc
hexc042fe97720

13212123232032 has 36 divisors (see below), whose sum is σ = 37571975441910. Its totient is φ = 4404041077248.

The previous prime is 13212123232019. The next prime is 13212123232051. The reversal of 13212123232032 is 23023232121231.

13212123232032 is a `hidden beast` number, since 1 + 3 + 212 + 123 + 2 + 320 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12818949086736 + 393174145296 = 3580356^2 + 627036^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 13212123231987 and 13212123232005.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22937713657 + ... + 22937714232.

Almost surely, 213212123232032 is an apocalyptic number.

13212123232032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13212123232032 is an abundant number, since it is smaller than the sum of its proper divisors (24359852209878).

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

13212123232032 is a wasteful number, since it uses less digits than its factorization.

13212123232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45875427905 (or 45875427894 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13212123232032 its reverse (23023232121231), we get a palindrome (36235355353263).

The spelling of 13212123232032 in words is "thirteen trillion, two hundred twelve billion, one hundred twenty-three million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 45875427889 91750855778 137626283667 183501711556 275252567334 367003423112 412878851001 550505134668 734006846224 825757702002 1101010269336 1468013692448 1651515404004 2202020538672 3303030808008 4404041077344 6606061616016 13212123232032