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1323312010020 = 223257111323715269
BaseRepresentation
bin10011010000011011100…
…010101101001100100100
311200111200220000021002200
4103100123202231030210
5133140120333310040
62451530544534500
7164414622331230
oct23203342551444
94614626007080
101323312010020
11470239149380
12194572621430
1397a319cab00
14480976955c0
1524650817630
hex1341b8ad324

1323312010020 has 864 divisors, whose sum is σ = 5565928193280. Its totient is φ = 246945853440.

The previous prime is 1323312009991. The next prime is 1323312010037. The reversal of 1323312010020 is 200102133231.

1323312010020 is a `hidden beast` number, since 1 + 323 + 312 + 0 + 10 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1323312009975 and 1323312010002.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 86658946 + ... + 86674214.

It is an arithmetic number, because the mean of its divisors is an integer number (6442046520).

Almost surely, 21323312010020 is an apocalyptic number.

1323312010020 is a gapful number since it is divisible by the number (10) 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 1323312010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782964096640).

1323312010020 is an abundant number, since it is smaller than the sum of its proper divisors (4242616183260).

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

1323312010020 is a wasteful number, since it uses less digits than its factorization.

1323312010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15365 (or 15347 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1323312010020 its reverse (200102133231), we get a palindrome (1523414143251).

The spelling of 1323312010020 in words is "one trillion, three hundred twenty-three billion, three hundred twelve million, ten thousand, twenty".