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123132331 = 7193312797
BaseRepresentation
bin1110101011011…
…01100110101011
322120200202210201
413111231212223
5223010213311
620115053031
73023415250
oct725554653
9276622721
10123132331
1163561163
12352a1177
131c68288a
14124d3427
15ac239c1
hex756d9ab

123132331 has 16 divisors (see below), whose sum is σ = 148629760. Its totient is φ = 99649440.

The previous prime is 123132311. The next prime is 123132353. The reversal of 123132331 is 133231321.

123132331 = T2050 + T2051 + ... + T2106.

It is a cyclic number.

It is not a de Polignac number, because 123132331 - 27 = 123132203 is a prime.

It is a super-2 number, since 2×1231323312 = 30323141874987122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123132299 and 123132308.

It is not an unprimeable number, because it can be changed into a prime (123132311) 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 15 ways as a sum of consecutive naturals, for example, 42625 + ... + 45421.

It is an arithmetic number, because the mean of its divisors is an integer number (9289360).

Almost surely, 2123132331 is an apocalyptic number.

123132331 is a deficient number, since it is larger than the sum of its proper divisors (25497429).

123132331 is a wasteful number, since it uses less digits than its factorization.

123132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154.

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

The square root of 123132331 is about 11096.5008448610. The cubic root of 123132331 is about 497.4972682358.

Adding to 123132331 its reverse (133231321), we get a palindrome (256363652).

The spelling of 123132331 in words is "one hundred twenty-three million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 7 19 133 331 2317 2797 6289 19579 44023 53143 372001 925807 6480649 17590333 123132331