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100000220301 = 341234570621
BaseRepresentation
bin101110100100001111…
…0100100010010001101
3100120010012001112110000
41131020132210102031
53114300024022201
6113534531434513
710140045563532
oct1351036442215
9316105045400
10100000220301
1139456576673
1217469a55a39
139578888ab7
144ba90bad89
15290427ed86
hex17487a448d

100000220301 has 10 divisors (see below), whose sum is σ = 149383045262. Its totient is φ = 66666813480.

The previous prime is 100000220293. The next prime is 100000220347. The reversal of 100000220301 is 103022000001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 96242652900 + 3757567401 = 310230^2 + 61299^2 .

It is not a de Polignac number, because 100000220301 - 23 = 100000220293 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100000720301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 617285230 + ... + 617285391.

Almost surely, 2100000220301 is an apocalyptic number.

It is an amenable number.

100000220301 is a deficient number, since it is larger than the sum of its proper divisors (49382824961).

100000220301 is an equidigital number, since it uses as much as digits as its factorization.

100000220301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234570633 (or 1234570624 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100000220301 its reverse (103022000001), we get a palindrome (203022220302).

The spelling of 100000220301 in words is "one hundred billion, two hundred twenty thousand, three hundred one".

Divisors: 1 3 9 27 81 1234570621 3703711863 11111135589 33333406767 100000220301