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123214041 = 3410115061
BaseRepresentation
bin1110101100000…
…01100011011001
322120211220220000
413112001203121
5223020322131
620120523213
73024205416
oct726014331
9276756800
10123214041
1163607595
1235320509
131c6b0b22
141251510d
15ac3cce6
hex75818d9

123214041 has 20 divisors (see below), whose sum is σ = 185895204. Its totient is φ = 81324000.

The previous prime is 123214027. The next prime is 123214097. The reversal of 123214041 is 140412321.

It can be written as a sum of positive squares in 2 ways, for example, as 108993600 + 14220441 = 10440^2 + 3771^2 .

It is not a de Polignac number, because 123214041 - 27 = 123213913 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (123214001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 651 + ... + 15711.

Almost surely, 2123214041 is an apocalyptic number.

It is an amenable number.

123214041 is a deficient number, since it is larger than the sum of its proper divisors (62681163).

123214041 is a wasteful number, since it uses less digits than its factorization.

123214041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15174 (or 15165 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 123214041 is about 11100.1820255345. The cubic root of 123214041 is about 497.6072894705.

Adding to 123214041 its reverse (140412321), we get a palindrome (263626362).

The spelling of 123214041 in words is "one hundred twenty-three million, two hundred fourteen thousand, forty-one".

Divisors: 1 3 9 27 81 101 303 909 2727 8181 15061 45183 135549 406647 1219941 1521161 4563483 13690449 41071347 123214041