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322113000000 = 263561143227
BaseRepresentation
bin1001010111111110110…
…11100101001001000000
31010210102121102211002010
410223333123211021000
520234141412000000
6403550543252520
732162155216161
oct4537733451100
91123377384063
10322113000000
11114675433510
1252516baa140
13244b51c65ac
1411839cd9768
1585a3badd50
hex4aff6e5240

322113000000 has 784 divisors, whose sum is σ = 1194419711232. Its totient is φ = 75936000000.

The previous prime is 322112999981. The next prime is 322113000017. The reversal of 322113000000 is 311223.

It is a happy number.

322113000000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 322113000000.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1418999887 + ... + 1419000113.

Almost surely, 2322113000000 is an apocalyptic number.

322113000000 is a gapful number since it is divisible by the number (30) 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 322113000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597209855616).

322113000000 is an abundant number, since it is smaller than the sum of its proper divisors (872306711232).

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

322113000000 is an equidigital number, since it uses as much as digits as its factorization.

322113000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 322113000000 its reverse (311223), we get a palindrome (322113311223).

The spelling of 322113000000 in words is "three hundred twenty-two billion, one hundred thirteen million", and thus it is an aban number.