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300020221122112 = 2641798171432489
BaseRepresentation
bin100010000110111011110011…
…0101101001001011001000000
31110100021122122001120000121201
41010031313212231021121000
5303311012403101401422
62542031215321030544
7120123513523252621
oct10415674655113100
91410248561500551
10300020221122112
1187660952348897
1229795b19025454
13cb53a29850b2a
1454130b023ba48
1524a4333c07727
hex110dde6b49640

300020221122112 has 56 divisors (see below), whose sum is σ = 609881488697880. Its totient is φ = 146349391626240.

The previous prime is 300020221122101. The next prime is 300020221122161. The reversal of 300020221122112 is 211221122020003.

It can be written as a sum of positive squares in 4 ways, for example, as 47548968371776 + 252471252750336 = 6895576^2 + 15889344^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 300020221122112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208723564 + ... + 210156052.

It is an arithmetic number, because the mean of its divisors is an integer number (10890740869605).

Almost surely, 2300020221122112 is an apocalyptic number.

300020221122112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

300020221122112 is an abundant number, since it is smaller than the sum of its proper divisors (309861267575768).

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

300020221122112 is a wasteful number, since it uses less digits than its factorization.

300020221122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512359 (or 1512349 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 300020221122112 its reverse (211221122020003), we get a palindrome (511241343142115).

The spelling of 300020221122112 in words is "three hundred trillion, twenty billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 79817 159634 319268 638536 1277072 1432489 2554144 2864978 3272497 5108288 5729956 6544994 11459912 13089988 22919824 26179976 45839648 52359952 58732049 91679296 104719904 117464098 209439808 234928196 469856392 939712784 1879425568 3758851136 114336974513 228673949026 457347898052 914695796104 1829391592208 3658783184416 4687815955033 7317566368832 9375631910066 18751263820132 37502527640264 75005055280528 150010110561056 300020221122112