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123040004241 = 37111774730013
BaseRepresentation
bin111001010010111000…
…0010111100010010001
3102202120212110211100010
41302211300113202101
54003441220113431
6132305050145133
711614021531350
oct1624560274221
9382525424303
10123040004241
11481a9969320
121ba19a221a9
13b7aac6734b
145d52da3997
153301cec846
hex1ca5c17891

123040004241 has 32 divisors (see below), whose sum is σ = 204552373248. Its totient is φ = 63911154240.

The previous prime is 123040004231. The next prime is 123040004251. The reversal of 123040004241 is 142400040321.

It is an interprime number because it is at equal distance from previous prime (123040004231) and next prime (123040004251).

It is not a de Polignac number, because 123040004241 - 213 = 123039996049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (123040004201) 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 31 ways as a sum of consecutive naturals, for example, 4084551 + ... + 4114563.

It is an arithmetic number, because the mean of its divisors is an integer number (6392261664).

Almost surely, 2123040004241 is an apocalyptic number.

123040004241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123040004241 is a deficient number, since it is larger than the sum of its proper divisors (81512369007).

123040004241 is a wasteful number, since it uses less digits than its factorization.

123040004241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47781.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 123040004241 its reverse (142400040321), we get a palindrome (265440044562).

It can be divided in two parts, 12304000 and 4241, that added together give a triangular number (12308241 = T4961).

The spelling of 123040004241 in words is "one hundred twenty-three billion, forty million, four thousand, two hundred forty-one".

Divisors: 1 3 7 11 21 33 77 231 17747 30013 53241 90039 124229 195217 210091 330143 372687 585651 630273 990429 1366519 2311001 4099557 6933003 532640711 1597922133 3728484977 5859047821 11185454931 17577143463 41013334747 123040004241