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34113401101 = 1317595874457
BaseRepresentation
bin11111110001010100…
…010011000100001101
310021001102101022220001
4133301110103010031
51024331012313401
623401012324301
72315235060613
oct376124230415
9107042338801
1034113401101
111351614217a
126740613691
1332a863cc50
14191887b6b3
15d49cee601
hex7f151310d

34113401101 has 32 divisors (see below), whose sum is σ = 39634116480. Its totient is φ = 29078501376.

The previous prime is 34113401099. The next prime is 34113401111. The reversal of 34113401101 is 10110431143.

It is a cyclic number.

It is not a de Polignac number, because 34113401101 - 21 = 34113401099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34113401111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7651665 + ... + 7656121.

It is an arithmetic number, because the mean of its divisors is an integer number (1238566140).

Almost surely, 234113401101 is an apocalyptic number.

It is an amenable number.

34113401101 is a deficient number, since it is larger than the sum of its proper divisors (5520715379).

34113401101 is a wasteful number, since it uses less digits than its factorization.

34113401101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 34113401101 its reverse (10110431143), we get a palindrome (44223832244).

The spelling of 34113401101 in words is "thirty-four billion, one hundred thirteen million, four hundred one thousand, one hundred one".

Divisors: 1 13 17 59 221 587 767 1003 4457 7631 9979 13039 34633 57941 75769 129727 262963 450229 588761 984997 2616259 3418519 4470371 7653893 34011367 44476403 58114823 154359281 578193239 2006670653 2624107777 34113401101