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231342104400 = 243521132575381
BaseRepresentation
bin1101011101110100010…
…0000101111101010000
3211010010121222112222220
43113131010011331100
512242242034320100
6254135504101040
722466605304451
oct3273504057520
9733117875886
10231342104400
118a125650120
1238a04004780
1318a7a771894
14b2a888b128
15603ed08aa0
hex35dd105f50

231342104400 has 240 divisors, whose sum is σ = 808833999168. Its totient is φ = 56055296000.

The previous prime is 231342104381. The next prime is 231342104419. The reversal of 231342104400 is 4401243132.

231342104400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231342104381) and next prime (231342104419).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 42989710 + ... + 42995090.

Almost surely, 2231342104400 is an apocalyptic number.

231342104400 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 231342104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404416999584).

231342104400 is an abundant number, since it is smaller than the sum of its proper divisors (577491894768).

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

231342104400 is a wasteful number, since it uses less digits than its factorization.

231342104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8670 (or 8659 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 231342104400 its reverse (4401243132), we get a palindrome (235743347532).

The spelling of 231342104400 in words is "two hundred thirty-one billion, three hundred forty-two million, one hundred four thousand, four hundred".