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31124496000 = 2735313311609
BaseRepresentation
bin11100111111001010…
…100001111010000000
32222100010020012220010
4130333022201322000
51002220332333000
622144241544520
72151202564563
oct347712417200
988303205803
1031124496000
1112221a6a574
126047645140
132c20341750
1417139224da
15c226ecd50
hex73f2a1e80

31124496000 has 512 divisors, whose sum is σ = 114770073600. Its totient is φ = 7409664000.

The previous prime is 31124495989. The next prime is 31124496001. The reversal of 31124496000 is 69442113.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (31124496001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 19343196 + ... + 19344804.

It is an arithmetic number, because the mean of its divisors is an integer number (224160300).

Almost surely, 231124496000 is an apocalyptic number.

31124496000 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 31124496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57385036800).

31124496000 is an abundant number, since it is smaller than the sum of its proper divisors (83645577600).

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

31124496000 is a wasteful number, since it uses less digits than its factorization.

31124496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 31124496000 in words is "thirty-one billion, one hundred twenty-four million, four hundred ninety-six thousand".