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1331323320320 = 2115723771711
BaseRepresentation
bin10011010111111001000…
…011011011100000000000
311201021101012200222210222
4103113321003123200000
5133303022232222240
62455333531042212
7165120301336100
oct23277103334000
94637335628728
101331323320320
1147367a341384
121960295a0368
139870a6a0cc6
1448617665200
152496dce8eb5
hex135f90db800

1331323320320 has 288 divisors, whose sum is σ = 3816413677440. Its totient is φ = 444110929920.

The previous prime is 1331323320317. The next prime is 1331323320323. The reversal of 1331323320320 is 230233231331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1331323320317) and next prime (1331323320323).

It is a self number, because there is not a number n which added to its sum of digits gives 1331323320320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331323320323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18529265 + ... + 18600975.

It is an arithmetic number, because the mean of its divisors is an integer number (13251436380).

Almost surely, 21331323320320 is an apocalyptic number.

1331323320320 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 1331323320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908206838720).

1331323320320 is an abundant number, since it is smaller than the sum of its proper divisors (2485090357120).

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

1331323320320 is an equidigital number, since it uses as much as digits as its factorization.

1331323320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71789 (or 71762 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 1331323320320 its reverse (230233231331), we get a palindrome (1561556551651).

The spelling of 1331323320320 in words is "one trillion, three hundred thirty-one billion, three hundred twenty-three million, three hundred twenty thousand, three hundred twenty".