Search a number
-
+
34131300423 = 3112372541233
BaseRepresentation
bin11111110010011000…
…100101000001000111
310021002200001201010220
4133302120211001013
51024400103103143
623402452115423
72315543160333
oct376230450107
9107080051126
1034131300423
1113525258200
126746605b73
1332ac26916c
14191adba7c3
15d4b687d83
hex7f2625047

34131300423 has 24 divisors (see below), whose sum is σ = 51373586544. Its totient is φ = 20126557440.

The previous prime is 34131300391. The next prime is 34131300431. The reversal of 34131300423 is 32400313143.

It is not a de Polignac number, because 34131300423 - 25 = 34131300391 is a prime.

It is a super-3 number, since 3×341313004233 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34131300393 and 34131300402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131300433) 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 23 ways as a sum of consecutive naturals, for example, 1257186 + ... + 1284047.

It is an arithmetic number, because the mean of its divisors is an integer number (2140566106).

Almost surely, 234131300423 is an apocalyptic number.

34131300423 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34131300423 is a deficient number, since it is larger than the sum of its proper divisors (17242286121).

34131300423 is a wasteful number, since it uses less digits than its factorization.

34131300423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541295 (or 2541284 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 34131300423 its reverse (32400313143), we get a palindrome (66531613566).

The spelling of 34131300423 in words is "thirty-four billion, one hundred thirty-one million, three hundred thousand, four hundred twenty-three".

Divisors: 1 3 11 33 37 111 121 363 407 1221 4477 13431 2541233 7623699 27953563 83860689 94025621 282076863 307489193 922467579 1034281831 3102845493 11377100141 34131300423