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31033130112000 = 210325347956239
BaseRepresentation
bin1110000111001011101101…
…01100100101010000000000
311001212201221012021020210100
413003211312230211100000
513031421322302041000
6150000231223002400
76352032615425112
oct703456654452000
9131781835236710
1031033130112000
119985092a094a5
123592518599400
13144154740bb53
147940238333b2
1538c399d5ea00
hex1c3976b25400

31033130112000 has 528 divisors, whose sum is σ = 112065605683200. Its totient is φ = 8258077900800.

The previous prime is 31033130111941. The next prime is 31033130112001. The reversal of 31033130112000 is 21103133013.

It is a happy number.

31033130112000 is a `hidden beast` number, since 3 + 10 + 331 + 301 + 1 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×310331301120002 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31033130112001) 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 47 ways as a sum of consecutive naturals, for example, 551779881 + ... + 551836119.

Almost surely, 231033130112000 is an apocalyptic number.

31033130112000 is a gapful number since it is divisible by the number (30) 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 31033130112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56032802841600).

31033130112000 is an abundant number, since it is smaller than the sum of its proper divisors (81032475571200).

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

31033130112000 is a wasteful number, since it uses less digits than its factorization.

31033130112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56759 (or 56728 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31033130112000 its reverse (21103133013), we get a palindrome (31054233245013).

The spelling of 31033130112000 in words is "thirty-one trillion, thirty-three billion, one hundred thirty million, one hundred twelve thousand".