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2031131301120 = 28325981117971
BaseRepresentation
bin11101100011101000110…
…111000001010100000000
321012011201000212210201200
4131203220313001110000
5231234224103113440
64153031104501200
7266513220124635
oct35435067012400
97164630783650
102031131301120
11713441739119
1228979191a800
131196c51193cc
147044326418c
1537c7b0c1c30
hex1d8e8dc1500

2031131301120 has 216 divisors, whose sum is σ = 7028610100512. Its totient is φ = 541549670400.

The previous prime is 2031131301083. The next prime is 2031131301131. The reversal of 2031131301120 is 211031311302.

2031131301120 is a `hidden beast` number, since 2 + 0 + 311 + 31 + 301 + 1 + 20 = 666.

It is a super-2 number, since 2×20311313011202 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2031131301093 and 2031131301102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113013735 + ... + 113031705.

Almost surely, 22031131301120 is an apocalyptic number.

2031131301120 is a gapful number since it is divisible by the number (20) 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 2031131301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514305050256).

2031131301120 is an abundant number, since it is smaller than the sum of its proper divisors (4997478799392).

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

2031131301120 is a wasteful number, since it uses less digits than its factorization.

2031131301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27809 (or 27792 counting only the distinct ones).

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

Adding to 2031131301120 its reverse (211031311302), we get a palindrome (2242162612422).

The spelling of 2031131301120 in words is "two trillion, thirty-one billion, one hundred thirty-one million, three hundred one thousand, one hundred twenty".