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131233110132000 = 2535326981150129
BaseRepresentation
bin11101110101101100010110…
…111010011000010100100000
3122012122202121002021101011110
4131311230112322120110200
5114200110402143211000
61143035354123343320
736433164543660552
oct3565542672302440
9565582532241143
10131233110132000
11388a671647a578
1212875a33081b40
13582c2c9699976
142459a05c054d2
151028a1ae58850
hex775b16e98520

131233110132000 has 384 divisors, whose sum is σ = 432058583174400. Its totient is φ = 34821715968000.

The previous prime is 131233110131993. The next prime is 131233110132043. The reversal of 131233110132000 is 231011332131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2617882936 + ... + 2617933064.

It is an arithmetic number, because the mean of its divisors is an integer number (1125152560350).

Almost surely, 2131233110132000 is an apocalyptic number.

131233110132000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131233110132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216029291587200).

131233110132000 is an abundant number, since it is smaller than the sum of its proper divisors (300825473042400).

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

131233110132000 is a wasteful number, since it uses less digits than its factorization.

131233110132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51237 (or 51219 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131233110132000 its reverse (231011332131), we get a palindrome (131464121464131).

The spelling of 131233110132000 in words is "one hundred thirty-one trillion, two hundred thirty-three billion, one hundred ten million, one hundred thirty-two thousand".