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331013120031000 = 2332531114512304319
BaseRepresentation
bin100101101000011011111111…
…1011011110111100100011000
31121102000112201110201101212100
41023100313333123313210120
5321341304332211443000
63132001154505443400
7126502623456303501
oct11320677733674430
91542015643641770
10331013120031000
119651a96a8439a0
12311606881a0560
1311291532019644
145ba51988bbba8
152840626b10a00
hex12d0dff6f7918

331013120031000 has 384 divisors, whose sum is σ = 1221377348505600. Its totient is φ = 80190266400000.

The previous prime is 331013120030981. The next prime is 331013120031029. The reversal of 331013120031000 is 130021310133.

It is a happy number.

331013120031000 is a `hidden beast` number, since 33 + 10 + 1 + 312 + 0 + 0 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×3310131200310002 (a number of 30 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142496841 + ... + 144801159.

It is an arithmetic number, because the mean of its divisors is an integer number (3180670178400).

Almost surely, 2331013120031000 is an apocalyptic number.

331013120031000 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 331013120031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610688674252800).

331013120031000 is an abundant number, since it is smaller than the sum of its proper divisors (890364228474600).

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

331013120031000 is a wasteful number, since it uses less digits than its factorization.

331013120031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305808 (or 2305791 counting only the distinct ones).

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

Adding to 331013120031000 its reverse (130021310133), we get a palindrome (331143141341133).

The spelling of 331013120031000 in words is "three hundred thirty-one trillion, thirteen billion, one hundred twenty million, thirty-one thousand".