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34040200122 = 23210949172721
BaseRepresentation
bin11111101100111101…
…000011101110111010
310020212022122100000200
4133230331003232322
51024203242400442
623345435343030
72313355632645
oct375475035672
9106768570020
1034040200122
11134888951a5
12671bbb1a76
133296420466
14190cc64a5c
15d4369034c
hex7ecf43bba

34040200122 has 24 divisors (see below), whose sum is σ = 73760930100. Its totient is φ = 11345631360.

The previous prime is 34040200099. The next prime is 34040200147. The reversal of 34040200122 is 22100204043.

34040200122 is a `hidden beast` number, since 340 + 4 + 0 + 200 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26285812641 + 7754387481 = 162129^2 + 88059^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34040200095 and 34040200104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110722 + ... + 283442.

Almost surely, 234040200122 is an apocalyptic number.

34040200122 is an abundant number, since it is smaller than the sum of its proper divisors (39720729978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34040200122 is a wasteful number, since it uses less digits than its factorization.

34040200122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183678 (or 183675 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 34040200122 its reverse (22100204043), we get a palindrome (56140404165).

The spelling of 34040200122 in words is "thirty-four billion, forty million, two hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 10949 21898 32847 65694 98541 172721 197082 345442 518163 1036326 1554489 3108978 1891122229 3782244458 5673366687 11346733374 17020100061 34040200122