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1323120331 = 132931113213
BaseRepresentation
bin100111011011101…
…0011011011001011
310102012200110212201
41032313103123023
510202204322311
6335143021031
744534223451
oct11667233313
93365613781
101323120331
11619959985
1230b13a777
13181171750
14c7a1c9d1
157b25a9c1
hex4edd36cb

1323120331 has 16 divisors (see below), whose sum is σ = 1521596160. Its totient is φ = 1141176960.

The previous prime is 1323120313. The next prime is 1323120349. The reversal of 1323120331 is 1330213231.

It is an interprime number because it is at equal distance from previous prime (1323120313) and next prime (1323120349).

It is not a de Polignac number, because 1323120331 - 25 = 1323120299 is a prime.

It is a super-2 number, since 2×13231203312 = 3501294820611099122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1323120299 and 1323120308.

It is not an unprimeable number, because it can be changed into a prime (1323120031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44920 + ... + 68293.

It is an arithmetic number, because the mean of its divisors is an integer number (95099760).

Almost surely, 21323120331 is an apocalyptic number.

1323120331 is a deficient number, since it is larger than the sum of its proper divisors (198475829).

1323120331 is a wasteful number, since it uses less digits than its factorization.

1323120331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113286.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1323120331 is about 36374.7210436039. The cubic root of 1323120331 is about 1097.8249945312.

Adding to 1323120331 its reverse (1330213231), we get a palindrome (2653333562).

The spelling of 1323120331 in words is "one billion, three hundred twenty-three million, one hundred twenty thousand, three hundred thirty-one".

Divisors: 1 13 29 31 377 403 899 11687 113213 1471769 3283177 3509603 42681301 45624839 101778487 1323120331