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104040431 = 1123537759
BaseRepresentation
bin1100011001110…
…00011111101111
321020202210122022
412030320133233
5203113243211
614153540355
72402220605
oct614703757
9236683568
10104040431
1153801130
122aa146bb
13187298b1
14db63875
159201bdb
hex63387ef

104040431 has 16 divisors (see below), whose sum is σ = 120683520. Its totient is φ = 88751520.

The previous prime is 104040401. The next prime is 104040439. The reversal of 104040431 is 134040401.

It is not a de Polignac number, because 104040431 - 26 = 104040367 is a prime.

It is a super-2 number, since 2×1040404312 = 21648822565331522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104040439) 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, 9530 + ... + 17288.

It is an arithmetic number, because the mean of its divisors is an integer number (7542720).

Almost surely, 2104040431 is an apocalyptic number.

104040431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

104040431 is a deficient number, since it is larger than the sum of its proper divisors (16643089).

104040431 is a wasteful number, since it uses less digits than its factorization.

104040431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7846.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 104040431 is about 10200.0211274291. The cubic root of 104040431 is about 470.3278699134.

Adding to 104040431 its reverse (134040401), we get a palindrome (238080832).

The spelling of 104040431 in words is "one hundred four million, forty thousand, four hundred thirty-one".

Divisors: 1 11 23 53 253 583 1219 7759 13409 85349 178457 411227 1963027 4523497 9458221 104040431