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114221224100 = 22522939386629
BaseRepresentation
bin110101001100000011…
…1011001000010100100
3101220211021101101020102
41222120013121002210
53332411113132400
6124250021123232
711152336246154
oct1523007310244
9356737341212
10114221224100
11444939a3275
121a178559518
13aa03bc7249
145757a82764
152e879ba9d5
hex1a981d90a4

114221224100 has 36 divisors (see below), whose sum is σ = 256406961300. Its totient is φ = 44113023360.

The previous prime is 114221224099. The next prime is 114221224193. The reversal of 114221224100 is 1422122411.

It can be written as a sum of positive squares in 6 ways, for example, as 6074955364 + 108146268736 = 77942^2 + 328856^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19690415 + ... + 19696214.

Almost surely, 2114221224100 is an apocalyptic number.

114221224100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114221224100 is an abundant number, since it is smaller than the sum of its proper divisors (142185737200).

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

114221224100 is a wasteful number, since it uses less digits than its factorization.

114221224100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39386672 (or 39386665 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 114221224100 its reverse (1422122411), we get a palindrome (115643346511).

The spelling of 114221224100 in words is "one hundred fourteen billion, two hundred twenty-one million, two hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 39386629 78773258 157546516 196933145 393866290 787732580 984665725 1142212241 1969331450 2284424482 3938662900 4568848964 5711061205 11422122410 22844244820 28555306025 57110612050 114221224100