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35034104313 = 3313195253277
BaseRepresentation
bin100000101000001100…
…100000000111111001
310100102120211220021000
4200220030200013321
51033222212314223
624032222235213
72350114654545
oct405014400771
9110376756230
1035034104313
111394892511a
126958a25b09
1333c4304b50
1419a4c66a25
15da0a6a543
hex8283201f9

35034104313 has 32 divisors (see below), whose sum is σ = 58836713600. Its totient is φ = 20424737088.

The previous prime is 35034104311. The next prime is 35034104317. The reversal of 35034104313 is 31340143053.

35034104313 is a `hidden beast` number, since 3 + 5 + 0 + 341 + 0 + 4 + 313 = 666.

It is not a de Polignac number, because 35034104313 - 21 = 35034104311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35034104311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2619970 + ... + 2633307.

It is an arithmetic number, because the mean of its divisors is an integer number (1838647300).

Almost surely, 235034104313 is an apocalyptic number.

It is an amenable number.

35034104313 is a deficient number, since it is larger than the sum of its proper divisors (23802609287).

35034104313 is a wasteful number, since it uses less digits than its factorization.

35034104313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5253318 (or 5253312 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 35034104313 its reverse (31340143053), we get a palindrome (66374247366).

The spelling of 35034104313 in words is "thirty-five billion, thirty-four million, one hundred four thousand, three hundred thirteen".

Divisors: 1 3 9 13 19 27 39 57 117 171 247 351 513 741 2223 6669 5253277 15759831 47279493 68292601 99812263 141838479 204877803 299436789 614633409 898310367 1297559419 1843900227 2694931101 3892678257 11678034771 35034104313