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31112033130000 = 243254617097993
BaseRepresentation
bin1110001001011110101011…
…01011101101011000010000
311002011021121002012212101100
413010233111223231120100
513034214420440130000
6150100400512304400
76360525120133344
oct704572553553020
9132137532185340
1031112033130000
119a055a2681789
1235a5878b42100
131448b101ab894
14797b8aa17624
1538e466d91a00
hex1c4bd5aed610

31112033130000 has 600 divisors, whose sum is σ = 110756764958840. Its totient is φ = 8148003840000.

The previous prime is 31112033129963. The next prime is 31112033130019. The reversal of 31112033130000 is 3133021113.

It is a happy number.

31112033130000 is a `hidden beast` number, since 3 + 1 + 11 + 20 + 331 + 300 + 0 + 0 = 666.

It can be written as a sum of positive squares in 20 ways, for example, as 19995063469056 + 11116969660944 = 4471584^2 + 3334212^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3892406004 + ... + 3892413996.

Almost surely, 231112033130000 is an apocalyptic number.

31112033130000 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 31112033130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55378382479420).

31112033130000 is an abundant number, since it is smaller than the sum of its proper divisors (79644731828840).

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

31112033130000 is a wasteful number, since it uses less digits than its factorization.

31112033130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8797 (or 8773 counting only the distinct ones).

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

Adding to 31112033130000 its reverse (3133021113), we get a palindrome (31115166151113).

The spelling of 31112033130000 in words is "thirty-one trillion, one hundred twelve billion, thirty-three million, one hundred thirty thousand".