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300022101213300 = 2232521765330029537
BaseRepresentation
bin100010000110111100101011…
…0110001001000000001110100
31110100021211111002021112212200
41010031321112301020001310
5303311030230402311200
62542032130041544500
7120123611232623214
oct10415712661100164
91410254432245780
10300022101213300
1187661727636164
12297963627a5130
13cb53c6920391b
14541320bc02244
1524a43e3cd1800
hex110de56c48074

300022101213300 has 216 divisors, whose sum is σ = 997245281888856. Its totient is φ = 75184348692480.

The previous prime is 300022101213287. The next prime is 300022101213311. The reversal of 300022101213300 is 3312101220003.

300022101213300 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 2 + 210 + 121 + 330 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 47417932500624 + 252604168712676 = 6886068^2 + 15893526^2 .

It is a super-2 number, since 2×3000221012133002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5023869 + ... + 25005668.

It is an arithmetic number, because the mean of its divisors is an integer number (4616876305041).

Almost surely, 2300022101213300 is an apocalyptic number.

300022101213300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300022101213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498622640944428).

300022101213300 is an abundant number, since it is smaller than the sum of its proper divisors (697223180675556).

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

300022101213300 is a wasteful number, since it uses less digits than its factorization.

300022101213300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30030227 (or 30030217 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 300022101213300 its reverse (3312101220003), we get a palindrome (303334202433303).

The spelling of 300022101213300 in words is "three hundred trillion, twenty-two billion, one hundred one million, two hundred thirteen thousand, three hundred".