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231213132000 = 25325357711131
BaseRepresentation
bin1101011101010101100…
…0000110100011100000
3211002210122022002010100
43113111120012203200
512242011030211000
6254115015502400
722463451123564
oct3272530064340
9732718262110
10231213132000
118a069870264
1238988987a00
1318a59b25a56
14b2956b76a4
15603382ea00
hex35d56068e0

231213132000 has 288 divisors, whose sum is σ = 822071394144. Its totient is φ = 61544448000.

The previous prime is 231213131977. The next prime is 231213132001. The reversal of 231213132000 is 231312132.

231213132000 is a `hidden beast` number, since 2 + 312 + 1 + 31 + 320 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (231213132001) 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 47 ways as a sum of consecutive naturals, for example, 20766435 + ... + 20777565.

It is an arithmetic number, because the mean of its divisors is an integer number (2854414563).

Almost surely, 2231213132000 is an apocalyptic number.

231213132000 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 231213132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411035697072).

231213132000 is an abundant number, since it is smaller than the sum of its proper divisors (590858262144).

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

231213132000 is a wasteful number, since it uses less digits than its factorization.

231213132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11739 (or 11718 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 231213132000 its reverse (231312132), we get a palindrome (231444444132).

The spelling of 231213132000 in words is "two hundred thirty-one billion, two hundred thirteen million, one hundred thirty-two thousand".