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300222032201 = 72132291250149
BaseRepresentation
bin1000101111001101010…
…00001010100101001001
31001200220222201102122222
410113212220022211021
514404323320012301
6345530424023425
730455532111500
oct4274650124511
91050828642588
10300222032201
11106361568393
124a227901b75
1322406b2b300
141076081b837
157c21e1b31b
hex45e6a0a949

300222032201 has 36 divisors (see below), whose sum is σ = 391209439500. Its totient is φ = 229347151488.

The previous prime is 300222032179. The next prime is 300222032207. The reversal of 300222032201 is 102230222003.

It can be written as a sum of positive squares in 6 ways, for example, as 226576 + 300221805625 = 476^2 + 547925^2 .

It is not a de Polignac number, because 300222032201 - 222 = 300217837897 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 300222032201.

It is not an unprimeable number, because it can be changed into a prime (300222032207) 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 35 ways as a sum of consecutive naturals, for example, 384926 + ... + 865223.

It is an arithmetic number, because the mean of its divisors is an integer number (10866928875).

Almost surely, 2300222032201 is an apocalyptic number.

It is an amenable number.

300222032201 is a deficient number, since it is larger than the sum of its proper divisors (90987407299).

300222032201 is a wasteful number, since it uses less digits than its factorization.

300222032201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250218 (or 1250198 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 300222032201 its reverse (102230222003), we get a palindrome (402452254204).

The spelling of 300222032201 in words is "three hundred billion, two hundred twenty-two million, thirty-two thousand, two hundred one".

Divisors: 1 7 13 29 49 91 169 203 377 637 1183 1421 2639 4901 8281 18473 34307 240149 1250149 8751043 16251937 36254321 61257301 113763559 211275181 253780247 471306173 796344913 1478926267 1776461729 3299143211 6126980249 10352483869 23094002477 42888861743 300222032201