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34331203313 = 112299783757
BaseRepresentation
bin11111111110010011…
…001001011011110001
310021121121012211100122
4133332103021123301
51030302242001223
623434352500025
72323521261521
oct377623113361
9107547184318
1034331203313
1113618084200
1267a154a615
1333117bb1b4
141939775681
15d5dec35c8
hex7fe4c96f1

34331203313 has 12 divisors (see below), whose sum is σ = 39037194420. Its totient is φ = 30133968480.

The previous prime is 34331203243. The next prime is 34331203349. The reversal of 34331203313 is 31330213343.

It can be written as a sum of positive squares in 2 ways, for example, as 28741099024 + 5590104289 = 169532^2 + 74767^2 .

It is not a de Polignac number, because 34331203313 - 28 = 34331203057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34331203373) 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, 4888370 + ... + 4895387.

It is an arithmetic number, because the mean of its divisors is an integer number (3253099535).

Almost surely, 234331203313 is an apocalyptic number.

It is an amenable number.

34331203313 is a deficient number, since it is larger than the sum of its proper divisors (4705991107).

34331203313 is a wasteful number, since it uses less digits than its factorization.

34331203313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9783808 (or 9783797 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 34331203313 its reverse (31330213343), we get a palindrome (65661416656).

The spelling of 34331203313 in words is "thirty-four billion, three hundred thirty-one million, two hundred three thousand, three hundred thirteen".

Divisors: 1 11 29 121 319 3509 9783757 107621327 283728953 1183834597 3121018483 34331203313