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2031311985120 = 25325111071279437
BaseRepresentation
bin11101100011110011101…
…000010001100111100000
321012012011121212111120200
4131203303220101213200
5231240111332010440
64153101041305200
7266520542662305
oct35436350214740
97165147774520
102031311985120
11713524728740
12289822335200
1311972369c712
147045d2590ac
1537c8bdb2c30
hex1d8f3a119e0

2031311985120 has 576 divisors, whose sum is σ = 7693608738816. Its totient is φ = 483944509440.

The previous prime is 2031311985113. The next prime is 2031311985161. The reversal of 2031311985120 is 215891131302.

2031311985120 is a `hidden beast` number, since 2 + 0 + 3 + 131 + 1 + 9 + 8 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215245042 + ... + 215254478.

It is an arithmetic number, because the mean of its divisors is an integer number (13356959616).

Almost surely, 22031311985120 is an apocalyptic number.

2031311985120 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 2031311985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846804369408).

2031311985120 is an abundant number, since it is smaller than the sum of its proper divisors (5662296753696).

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

2031311985120 is a wasteful number, since it uses less digits than its factorization.

2031311985120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9703 (or 9692 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 2031311985120 in words is "two trillion, thirty-one billion, three hundred eleven million, nine hundred eighty-five thousand, one hundred twenty".