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31232010000 = 2435419157349
BaseRepresentation
bin11101000101100100…
…101010011100010000
32222121121112111101010
4131011210222130100
51002430343310000
622203042210520
72153646463512
oct350544523420
988547474333
1031232010000
1112277723414
126077653a40
132c396b63b9
141723d0bbb2
15c2bd88d50
hex74592a710

31232010000 has 400 divisors, whose sum is σ = 107109464000. Its totient is φ = 7817472000.

The previous prime is 31232009999. The next prime is 31232010011. The reversal of 31232010000 is 1023213.

It is a happy number.

31232010000 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89489826 + ... + 89490174.

It is an arithmetic number, because the mean of its divisors is an integer number (267773660).

Almost surely, 231232010000 is an apocalyptic number.

31232010000 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 31232010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53554732000).

31232010000 is an abundant number, since it is smaller than the sum of its proper divisors (75877454000).

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

31232010000 is a wasteful number, since it uses less digits than its factorization.

31232010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31232010000 its reverse (1023213), we get a palindrome (31233033213).

The spelling of 31232010000 in words is "thirty-one billion, two hundred thirty-two million, ten thousand".