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133101312120000 = 2632547371427513
BaseRepresentation
bin11110010000111000010000…
…011011011001010011000000
3122110021100202021220111201200
4132100320100123121103000
5114421212441400320000
61151025522035501200
740015152410604030
oct3620702033312300
9573240667814650
10133101312120000
1139456a498251a4
1212b17b14157800
1359365276b4293
1424c21d04ad8c0
15105c40d30d500
hex790e106d94c0

133101312120000 has 840 divisors, whose sum is σ = 559566964578336. Its totient is φ = 29600888832000.

The previous prime is 133101312119987. The next prime is 133101312120001. The reversal of 133101312120000 is 21213101331.

133101312120000 is a `hidden beast` number, since 1 + 3 + 310 + 131 + 21 + 200 + 0 + 0 = 666.

133101312120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (133101312120001) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 92526244 + ... + 93953756.

Almost surely, 2133101312120000 is an apocalyptic number.

133101312120000 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 133101312120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279783482289168).

133101312120000 is an abundant number, since it is smaller than the sum of its proper divisors (426465652458336).

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

133101312120000 is a wasteful number, since it uses less digits than its factorization.

133101312120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427595 (or 1427567 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133101312120000 its reverse (21213101331), we get a palindrome (133122525221331).

The spelling of 133101312120000 in words is "one hundred thirty-three trillion, one hundred one billion, three hundred twelve million, one hundred twenty thousand".