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34303000122 = 2331124356501
BaseRepresentation
bin11111111100100111…
…100011111000111010
310021112122010221212000
4133330213203320322
51030223032000442
623431504201430
72323026455466
oct377447437072
9107478127760
1034303000122
1113603170786
126794009276
1333089c5011
141935b134a6
15d5b7a1d4c
hex7fc9e3e3a

34303000122 has 32 divisors (see below), whose sum is σ = 76237018560. Its totient is φ = 11433114000.

The previous prime is 34303000111. The next prime is 34303000133. The reversal of 34303000122 is 22100030343.

34303000122 is a `hidden beast` number, since 343 + 0 + 300 + 0 + 1 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (34303000111) and next prime (34303000133).

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 = 34303000095 and 34303000104.

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 15 ways as a sum of consecutive naturals, for example, 578872 + ... + 635372.

It is an arithmetic number, because the mean of its divisors is an integer number (2382406830).

Almost surely, 234303000122 is an apocalyptic number.

34303000122 is an abundant number, since it is smaller than the sum of its proper divisors (41934018438).

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

34303000122 is a wasteful number, since it uses less digits than its factorization.

34303000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67755 (or 67749 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 34303000122 its reverse (22100030343), we get a palindrome (56403030465).

The spelling of 34303000122 in words is "thirty-four billion, three hundred three million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 11243 22486 33729 56501 67458 101187 113002 169503 202374 303561 339006 508509 607122 1017018 1525527 3051054 635240743 1270481486 1905722229 3811444458 5717166687 11434333374 17151500061 34303000122