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231220080000 = 2732547133529
BaseRepresentation
bin1101011101010111001…
…0100110110110000000
3211002211010101001222200
43113111302212312000
512242014320030000
6254115424433200
722463564152260
oct3272562466600
9732733331880
10231220080000
118a072786408
123898b178800
1318a5b3b93b0
14b2965a57a0
156034253500
hex35d5ca6d80

231220080000 has 960 divisors, whose sum is σ = 1023592970400. Its totient is φ = 48771072000.

The previous prime is 231220079957. The next prime is 231220080001. The reversal of 231220080000 is 80022132.

It is a happy number.

231220080000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231220080001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 65518236 + ... + 65521764.

Almost surely, 2231220080000 is an apocalyptic number.

231220080000 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 231220080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511796485200).

231220080000 is an abundant number, since it is smaller than the sum of its proper divisors (792372890400).

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

231220080000 is a wasteful number, since it uses less digits than its factorization.

231220080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 231220080000 in words is "two hundred thirty-one billion, two hundred twenty million, eighty thousand".