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123384031 is a prime number
BaseRepresentation
bin1110101101010…
…11000011011111
322121011120001221
413112223003133
5223041242111
620124314211
73025514131
oct726530337
9277146057
10123384031
1163713281
12353a2967
131c740304
141255b051
15ac73371
hex75ab0df

123384031 has 2 divisors, whose sum is σ = 123384032. Its totient is φ = 123384030.

The previous prime is 123384007. The next prime is 123384049. The reversal of 123384031 is 130483321.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 123384031 - 217 = 123252959 is a prime.

It is a super-2 number, since 2×1233840312 = 30447238211617922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123383987 and 123384005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123384431) 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 as a sum of consecutive naturals, namely, 61692015 + 61692016.

It is an arithmetic number, because the mean of its divisors is an integer number (61692016).

Almost surely, 2123384031 is an apocalyptic number.

123384031 is a deficient number, since it is larger than the sum of its proper divisors (1).

123384031 is an equidigital number, since it uses as much as digits as its factorization.

123384031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 123384031 is about 11107.8364680076. The cubic root of 123384031 is about 497.8360225814.

It can be divided in two parts, 1233 and 84031, that added together give a square (85264 = 2922).

The spelling of 123384031 in words is "one hundred twenty-three million, three hundred eighty-four thousand, thirty-one".