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34231004171 = 7133183146197
BaseRepresentation
bin11111111000010100…
…111010110000001011
310021100121200011222022
4133320110322300023
51030101114113141
623420413115055
72321163506660
oct377024726013
9107317604868
1034231004171
11135765670a1
126773a88a8b
1332c6b07b70
14192a331a67
15d552ceb4b
hex7f853ac0b

34231004171 has 32 divisors (see below), whose sum is σ = 44013785088. Its totient is φ = 25894235520.

The previous prime is 34231004131. The next prime is 34231004179. The reversal of 34231004171 is 17140013243.

It is not a de Polignac number, because 34231004171 - 214 = 34230987787 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34231004171.

It is not an unprimeable number, because it can be changed into a prime (34231004179) 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 31 ways as a sum of consecutive naturals, for example, 161045 + ... + 307241.

It is an arithmetic number, because the mean of its divisors is an integer number (1375430784).

Almost surely, 234231004171 is an apocalyptic number.

34231004171 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

34231004171 is a deficient number, since it is larger than the sum of its proper divisors (9782780917).

34231004171 is a wasteful number, since it uses less digits than its factorization.

34231004171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146331.

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 34231004171 in words is "thirty-four billion, two hundred thirty-one million, four thousand, one hundred seventy-one".

Divisors: 1 7 13 31 83 91 217 403 581 1079 2573 2821 7553 18011 33449 146197 234143 1023379 1900561 4532107 12134351 13303927 31724749 58917391 84940457 157746563 376164881 412421737 1104225941 2633154167 4890143453 34231004171