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34000131001 = 1913974317327
BaseRepresentation
bin11111101010100100…
…001101001110111001
310020202112020121112011
4133222210031032321
51024113013143001
623341444445521
72312361226234
oct375244151671
9106675217464
1034000131001
1113468207721
12670a6a98a1
13328b031315
1419077d441b
15d3edc7d51
hex7ea90d3b9

34000131001 has 16 divisors (see below), whose sum is σ = 36097689600. Its totient is φ = 31934035728.

The previous prime is 34000130993. The next prime is 34000131007. The reversal of 34000131001 is 10013100043.

It is a cyclic number.

It is not a de Polignac number, because 34000131001 - 23 = 34000130993 is a prime.

It is a super-2 number, since 2×340001310012 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34000131007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1953600 + ... + 1970926.

It is an arithmetic number, because the mean of its divisors is an integer number (2256105600).

Almost surely, 234000131001 is an apocalyptic number.

It is an amenable number.

34000131001 is a deficient number, since it is larger than the sum of its proper divisors (2097558599).

34000131001 is a wasteful number, since it uses less digits than its factorization.

34000131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18228.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 34000131001 its reverse (10013100043), we get a palindrome (44013231044).

The spelling of 34000131001 in words is "thirty-four billion, one hundred thirty-one thousand, one".

Divisors: 1 19 139 743 2641 14117 17327 103277 329213 1962263 2408453 12873961 45760607 244605259 1789480579 34000131001