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1320023000100 = 2235272313779991
BaseRepresentation
bin10011001101010111100…
…000001000010000100100
311200012012200011020200110
4103031113200020100210
5133111401342000400
62450224334013020
7164240254241100
oct23152740102044
94605180136613
101320023000100
11469900630562
121939b5047170
1397629495bac
1447c6493a900
152450bbd5e50
hex13357808424

1320023000100 has 864 divisors, whose sum is σ = 4774521077760. Its totient is φ = 280215936000.

The previous prime is 1320023000099. The next prime is 1320023000113. The reversal of 1320023000100 is 10003200231.

It is a happy number.

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

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, 1332010605 + ... + 1332011595.

Almost surely, 21320023000100 is an apocalyptic number.

1320023000100 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 1320023000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387260538880).

1320023000100 is an abundant number, since it is smaller than the sum of its proper divisors (3454498077660).

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

1320023000100 is a wasteful number, since it uses less digits than its factorization.

1320023000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1155 counting only the distinct ones).

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

Adding to 1320023000100 its reverse (10003200231), we get a palindrome (1330026200331).

The spelling of 1320023000100 in words is "one trillion, three hundred twenty billion, twenty-three million, one hundred", and thus it is an aban number.