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34311331201 = 721375111177
BaseRepresentation
bin11111111101000111…
…010101110110000001
310021120012211012221111
4133331013111312001
51030232200044301
623432402523321
72323160334400
oct377507256601
9107505735844
1034311331201
1113607940a74
126796966541
13330a651054
141936c81637
15d5c39a551
hex7fd1d5d81

34311331201 has 12 divisors (see below), whose sum is σ = 40204526148. Its totient is φ = 29195037312.

The previous prime is 34311331193. The next prime is 34311331211. The reversal of 34311331201 is 10213311343.

It can be written as a sum of positive squares in 2 ways, for example, as 12650850576 + 21660480625 = 112476^2 + 147175^2 .

It is not a de Polignac number, because 34311331201 - 23 = 34311331193 is a prime.

It is a super-2 number, since 2×343113312012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34311331211) 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, 2548876 + ... + 2562301.

It is an arithmetic number, because the mean of its divisors is an integer number (3350377179).

Almost surely, 234311331201 is an apocalyptic number.

It is an amenable number.

34311331201 is a deficient number, since it is larger than the sum of its proper divisors (5893194947).

34311331201 is a wasteful number, since it uses less digits than its factorization.

34311331201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111328 (or 5111321 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 34311331201 its reverse (10213311343), we get a palindrome (44524642544).

The spelling of 34311331201 in words is "thirty-four billion, three hundred eleven million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 7 49 137 959 6713 5111177 35778239 250447673 700231249 4901618743 34311331201