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34131431201 = 79295248567
BaseRepresentation
bin11111110010011001…
…000100111100100001
310021002200022100112112
4133302121010330201
51024400121244301
623402455005105
72315544243530
oct376231047441
9107080270475
1034131431201
111352533748a
126746669795
1332ac2b384a
14191b012317
15d4b6b19bb
hex7f2644f21

34131431201 has 8 divisors (see below), whose sum is σ = 39049345920. Its totient is φ = 29224015488.

The previous prime is 34131431149. The next prime is 34131431209. The reversal of 34131431201 is 10213413143.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34131431201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34131431209) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2617781 + ... + 2630786.

It is an arithmetic number, because the mean of its divisors is an integer number (4881168240).

Almost surely, 234131431201 is an apocalyptic number.

It is an amenable number.

34131431201 is a deficient number, since it is larger than the sum of its proper divisors (4917914719).

34131431201 is an equidigital number, since it uses as much as digits as its factorization.

34131431201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5249503.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 34131431201 its reverse (10213413143), we get a palindrome (44344844344).

The spelling of 34131431201 in words is "thirty-four billion, one hundred thirty-one million, four hundred thirty-one thousand, two hundred one".

Divisors: 1 7 929 6503 5248567 36739969 4875918743 34131431201