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34131020451 = 3115009206483
BaseRepresentation
bin11111110010010111…
…100000101010100011
310021002122112111002120
4133302113200222203
51024400020123301
623402442115323
72315540613153
oct376227405243
9107078474076
1034131020451
1113525086920
1267464abb43
1332ac19b8b8
14191ad46763
15d4b62ee36
hex7f25e0aa3

34131020451 has 16 divisors (see below), whose sum is σ = 49655272320. Its totient is φ = 20681237120.

The previous prime is 34131020447. The next prime is 34131020533. The reversal of 34131020451 is 15402013143.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 34131020451 - 22 = 34131020447 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34131020551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62056 + ... + 268538.

It is an arithmetic number, because the mean of its divisors is an integer number (3103454520).

Almost surely, 234131020451 is an apocalyptic number.

34131020451 is a deficient number, since it is larger than the sum of its proper divisors (15524251869).

34131020451 is a wasteful number, since it uses less digits than its factorization.

34131020451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211506.

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 34131020451 its reverse (15402013143), we get a palindrome (49533033594).

The spelling of 34131020451 in words is "thirty-four billion, one hundred thirty-one million, twenty thousand, four hundred fifty-one".

Divisors: 1 3 11 33 5009 15027 55099 165297 206483 619449 2271313 6813939 1034273347 3102820041 11377006817 34131020451