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34131122431 = 724049172031
BaseRepresentation
bin11111110010010111…
…111001100011111111
310021002122201122222121
4133302113321203333
51024400031404211
623402444223411
72315541516400
oct376227714377
9107078648877
1034131122431
11135251464aa
12674653ab67
1332ac206143
14191ad719a7
15d4b650271
hex7f25f98ff

34131122431 has 12 divisors (see below), whose sum is σ = 39713587200. Its totient is φ = 29247852480.

The previous prime is 34131122423. The next prime is 34131122447. The reversal of 34131122431 is 13422113143.

It is not a de Polignac number, because 34131122431 - 23 = 34131122423 is a prime.

It is a super-2 number, since 2×341311224312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34131122396 and 34131122405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131122731) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112386 + ... + 284416.

It is an arithmetic number, because the mean of its divisors is an integer number (3309465600).

Almost surely, 234131122431 is an apocalyptic number.

34131122431 is a deficient number, since it is larger than the sum of its proper divisors (5582464769).

34131122431 is a wasteful number, since it uses less digits than its factorization.

34131122431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176094 (or 176087 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

Adding to 34131122431 its reverse (13422113143), we get a palindrome (47553235574).

The spelling of 34131122431 in words is "thirty-four billion, one hundred thirty-one million, one hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 7 49 4049 28343 172031 198401 1204217 8429519 696553519 4875874633 34131122431