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300022121313321 = 3111931107144258119
BaseRepresentation
bin100010000110111100101011…
…1111101110011010000101001
31110100021211112111002201220220
41010031321113331303100221
5303311030301024011241
62542032132040440253
7120123611565516651
oct10415712775632051
91410254474081826
10300022121313321
1187661737a14650
1229796369479089
13cb53c70420724
145413210755361
1524a43e5952166
hex110de57f73429

300022121313321 has 64 divisors (see below), whose sum is σ = 478613820211200. Its totient is φ = 165146693486400.

The previous prime is 300022121313289. The next prime is 300022121313337. The reversal of 300022121313321 is 123313121220003.

It is not a de Polignac number, because 300022121313321 - 25 = 300022121313289 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 300022121313291 and 300022121313300.

It is not an unprimeable number, because it can be changed into a prime (300022121313371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70049301 + ... + 74208818.

It is an arithmetic number, because the mean of its divisors is an integer number (7478340940800).

Almost surely, 2300022121313321 is an apocalyptic number.

300022121313321 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

300022121313321 is a deficient number, since it is larger than the sum of its proper divisors (178591698897879).

300022121313321 is a wasteful number, since it uses less digits than its factorization.

300022121313321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144258290.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 300022121313321 its reverse (123313121220003), we get a palindrome (423335242533324).

The spelling of 300022121313321 in words is "three hundred trillion, twenty-two billion, one hundred twenty-one million, three hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 11 19 31 33 57 93 107 209 321 341 589 627 1023 1177 1767 2033 3317 3531 6099 6479 9951 19437 22363 36487 63023 67089 109461 189069 693253 2079759 144258119 432774357 1586839309 2740904261 4472001689 4760517927 8222712783 13416005067 15435618733 30149946871 46306856199 49192018579 84968032091 90449840613 147576055737 169791806063 254904096273 293276755927 478504180723 509375418189 879830267781 934648353001 1435512542169 2803945059003 3226044315197 5263545987953 9091579433737 9678132945591 15790637963859 27274738301211 100007373771107 300022121313321