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123331321 = 4111172693
BaseRepresentation
bin1110101100111…
…10001011111001
322121001212202201
413112132023321
5223033100241
620123230201
73025204351
oct726361371
9277055681
10123331321
1163687713
1235378361
131c722319
1412545b61
15ac62931
hex759e2f9

123331321 has 8 divisors (see below), whose sum is σ = 126499464. Its totient is φ = 120170880.

The previous prime is 123331301. The next prime is 123331333. The reversal of 123331321 is 123133321.

It can be written as a sum of positive squares in 4 ways, for example, as 5934096 + 117397225 = 2436^2 + 10835^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123331321 is a prime.

It is a super-2 number, since 2×1233313212 = 30421229479210082, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123331301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44451 + ... + 47143.

It is an arithmetic number, because the mean of its divisors is an integer number (15812433).

Almost surely, 2123331321 is an apocalyptic number.

It is an amenable number.

123331321 is a deficient number, since it is larger than the sum of its proper divisors (3168143).

123331321 is a wasteful number, since it uses less digits than its factorization.

123331321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851.

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

The square root of 123331321 is about 11105.4635652907. The cubic root of 123331321 is about 497.7651201744.

Adding to 123331321 its reverse (123133321), we get a palindrome (246464642).

It can be divided in two parts, 12 and 3331321, that added together give a palindrome (3331333).

The spelling of 123331321 in words is "one hundred twenty-three million, three hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 41 1117 2693 45797 110413 3008081 123331321