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2313321300400 = 245211599791867
BaseRepresentation
bin100001101010011100101…
…100011100000110110000
322012011002100011001110111
4201222130230130012300
5300400140223103100
64530420343511104
7326063154421045
oct41523454340660
98164070131414
102313321300400
1181208a625260
12314406758494
1313a1b71aca46
147dd72cb71cc
1540294e086ba
hex21a9cb1c1b0

2313321300400 has 240 divisors, whose sum is σ = 6229400042880. Its totient is φ = 818415820800.

The previous prime is 2313321300397. The next prime is 2313321300443. The reversal of 2313321300400 is 40031233132.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25135267 + ... + 25227133.

It is an arithmetic number, because the mean of its divisors is an integer number (25955833512).

Almost surely, 22313321300400 is an apocalyptic number.

2313321300400 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 2313321300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114700021440).

2313321300400 is an abundant number, since it is smaller than the sum of its proper divisors (3916078742480).

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

2313321300400 is a wasteful number, since it uses less digits than its factorization.

2313321300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92052 (or 92041 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 2313321300400 its reverse (40031233132), we get a palindrome (2353352533532).

The spelling of 2313321300400 in words is "two trillion, three hundred thirteen billion, three hundred twenty-one million, three hundred thousand, four hundred".