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34422112100 = 22522291503149
BaseRepresentation
bin100000000011101101…
…111011111101100100
310021211221021110202202
4200003231323331210
51030444030041400
623451401154032
72326004060645
oct400355737544
9107757243682
1034422112100
1113664426332
126807a8b918
13332759a98c
14194787b6cc
15d66e7e4d5
hex803b7bf64

34422112100 has 36 divisors (see below), whose sum is σ = 75022216500. Its totient is φ = 13708709760.

The previous prime is 34422112099. The next prime is 34422112117. The reversal of 34422112100 is 121122443.

It can be written as a sum of positive squares in 6 ways, for example, as 1280637796 + 33141474304 = 35786^2 + 182048^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 728675 + ... + 774474.

Almost surely, 234422112100 is an apocalyptic number.

It is an amenable number.

34422112100 is an abundant number, since it is smaller than the sum of its proper divisors (40600104400).

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

34422112100 is a wasteful number, since it uses less digits than its factorization.

34422112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503392 (or 1503385 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 34422112100 its reverse (121122443), we get a palindrome (34543234543).

The spelling of 34422112100 in words is "thirty-four billion, four hundred twenty-two million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 229 458 916 1145 2290 4580 5725 11450 22900 1503149 3006298 6012596 7515745 15031490 30062980 37578725 75157450 150314900 344221121 688442242 1376884484 1721105605 3442211210 6884422420 8605528025 17211056050 34422112100