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34444220100 = 22352114814067
BaseRepresentation
bin100000000101000010…
…010001011011000100
310021220110212200020120
4200011002101123010
51031020210020400
623453511101540
72326363016523
oct400502213304
9107813780216
1034444220100
1113675956404
1268133718b0
13332c03b734
14194a7944ba
15d68d99ca0
hex8050916c4

34444220100 has 36 divisors (see below), whose sum is σ = 99658611024. Its totient is φ = 9185125280.

The previous prime is 34444220099. The next prime is 34444220113. The reversal of 34444220100 is 102244443.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57406734 + ... + 57407333.

Almost surely, 234444220100 is an apocalyptic number.

34444220100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34444220100 is an abundant number, since it is smaller than the sum of its proper divisors (65214390924).

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

34444220100 is a wasteful number, since it uses less digits than its factorization.

34444220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114814084 (or 114814077 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34444220100 its reverse (102244443), we get a palindrome (34546464543).

The spelling of 34444220100 in words is "thirty-four billion, four hundred forty-four million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 114814067 229628134 344442201 459256268 574070335 688884402 1148140670 1377768804 1722211005 2296281340 2870351675 3444422010 5740703350 6888844020 8611055025 11481406700 17222110050 34444220100