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231012232000 = 2653112238649
BaseRepresentation
bin1101011100100101100…
…1101110101101000000
3211002021122021022010121
43113021121232231000
512241103112411000
6254043041510024
722455461400364
oct3271131565500
9732248238117
10231012232000
1189a76423100
1238931642314
1318a27314c04
14b276b3d2a4
156020d98b1a
hex35c966eb40

231012232000 has 168 divisors, whose sum is σ = 628841795400. Its totient is φ = 84004096000.

The previous prime is 231012231997. The next prime is 231012232019. The reversal of 231012232000 is 232210132.

231012232000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 53036247616 + 177975984384 = 230296^2 + 421872^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 848676 + ... + 1087324.

It is an arithmetic number, because the mean of its divisors is an integer number (3743105925).

Almost surely, 2231012232000 is an apocalyptic number.

231012232000 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 231012232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314420897700).

231012232000 is an abundant number, since it is smaller than the sum of its proper divisors (397829563400).

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

231012232000 is a wasteful number, since it uses less digits than its factorization.

231012232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238698 (or 238667 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 231012232000 its reverse (232210132), we get a palindrome (231244442132).

The spelling of 231012232000 in words is "two hundred thirty-one billion, twelve million, two hundred thirty-two thousand".