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104131431 = 32293741263
BaseRepresentation
bin1100011010011…
…10101101100111
321020221102110200
412031032231213
5203124201211
614155521543
72403050115
oct615165547
9236842420
10104131431
1153863538
122aa592b3
131875c141
14db88ab5
15921db56
hex634eb67

104131431 has 48 divisors (see below), whose sum is σ = 164324160. Its totient is φ = 63383040.

The previous prime is 104131429. The next prime is 104131439. The reversal of 104131431 is 134131401.

104131431 is a `hidden beast` number, since 104 + 131 + 431 = 666.

It is not a de Polignac number, because 104131431 - 21 = 104131429 is a prime.

It is a super-2 number, since 2×1041314312 = 21686709844215522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104131439) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395806 + ... + 396068.

It is an arithmetic number, because the mean of its divisors is an integer number (3423420).

Almost surely, 2104131431 is an apocalyptic number.

104131431 is a deficient number, since it is larger than the sum of its proper divisors (60192729).

104131431 is a wasteful number, since it uses less digits than its factorization.

104131431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 104131431 is about 10204.4809275141. The cubic root of 104131431 is about 470.4649556065.

Adding to 104131431 its reverse (134131401), we get a palindrome (238262832).

The spelling of 104131431 in words is "one hundred four million, one hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 29 37 41 87 111 123 261 263 333 369 789 1073 1189 1517 2367 3219 3567 4551 7627 9657 9731 10701 10783 13653 22881 29193 32349 43993 68643 87579 97047 131979 282199 312707 395937 398971 846597 938121 1196913 2539791 2814363 3590739 11570159 34710477 104131431