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231451400240100 = 223252295323156949
BaseRepresentation
bin110100101000000011111010…
…011111100111101111100100
31010100111112112000221100110200
4310220003322133213233210
5220314044431430140400
62140131145544550500
766515545314342345
oct6450037237475744
91110445460840420
10231451400240100
1167824a95567867
1221b609b9782430
139c1ba091a8841
144122443c820cc
151bb58ae75db00
hexd280fa7e7be4

231451400240100 has 324 divisors, whose sum is σ = 764915378545500. Its totient is φ = 58467687183360.

The previous prime is 231451400240069. The next prime is 231451400240147. The reversal of 231451400240100 is 1042004154132.

231451400240100 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 5 + 1 + 400 + 240 + 10 + 0 = 666.

It can be written as a sum of positive squares in 18 ways, for example, as 108982074544704 + 122469325695396 = 10439448^2 + 11066586^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 71736426 + ... + 74893374.

Almost surely, 2231451400240100 is an apocalyptic number.

231451400240100 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 231451400240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382457689272750).

231451400240100 is an abundant number, since it is smaller than the sum of its proper divisors (533463978305400).

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

231451400240100 is a wasteful number, since it uses less digits than its factorization.

231451400240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157104 (or 3157041 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 231451400240100 its reverse (1042004154132), we get a palindrome (232493404394232).

The spelling of 231451400240100 in words is "two hundred thirty-one trillion, four hundred fifty-one billion, four hundred million, two hundred forty thousand, one hundred".