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31240000000 = 29571171
BaseRepresentation
bin11101000110000011…
…001001001000000000
32222122011120102121001
4131012003021020000
51002434420000000
622203525341344
72154104422126
oct350603111000
988564512531
1031240000000
1112281190420
12607a267854
132c3b253101
141724dcb916
15c2c91646a
hex7460c9200

31240000000 has 320 divisors, whose sum is σ = 86315404032. Its totient is φ = 11200000000.

The previous prime is 31239999953. The next prime is 31240000007. The reversal of 31240000000 is 4213.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (31240000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 439999965 + ... + 440000035.

Almost surely, 231240000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43157702016).

31240000000 is an abundant number, since it is smaller than the sum of its proper divisors (55075404032).

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

31240000000 is an frugal number, since it uses more digits than its factorization.

31240000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 31240000000 its reverse (4213), we get a palindrome (31240004213).

The spelling of 31240000000 in words is "thirty-one billion, two hundred forty million", and thus it is an aban number.