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301213055221 = 131714970113049
BaseRepresentation
bin1000110001000011011…
…00100111100011110101
31001210111001111121200021
410120201230213203311
514413341020231341
6350213025045141
730522224503441
oct4304154474365
91053431447607
10301213055221
1110681aa0a681
124a4637867b1
1322534244470
14108162ad821
157c7de279d1
hex4621b278f5

301213055221 has 32 divisors (see below), whose sum is σ = 346289580000. Its totient is φ = 259540377600.

The previous prime is 301213055201. The next prime is 301213055249. The reversal of 301213055221 is 122550312103.

It can be written as a sum of positive squares in 16 ways, for example, as 50227084996 + 250985970225 = 224114^2 + 500985^2 .

It is a cyclic number.

It is not a de Polignac number, because 301213055221 - 219 = 301212530933 is a prime.

It is a super-3 number, since 3×3012130552213 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301213055201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23076705 + ... + 23089753.

It is an arithmetic number, because the mean of its divisors is an integer number (10821549375).

Almost surely, 2301213055221 is an apocalyptic number.

It is an amenable number.

301213055221 is a deficient number, since it is larger than the sum of its proper divisors (45076524779).

301213055221 is a wasteful number, since it uses less digits than its factorization.

301213055221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13929.

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 301213055221 its reverse (122550312103), we get a palindrome (423763367324).

The spelling of 301213055221 in words is "three hundred one billion, two hundred thirteen million, fifty-five thousand, two hundred twenty-one".

Divisors: 1 13 17 149 221 701 1937 2533 9113 11917 13049 32929 104449 154921 169637 221833 1357837 1775633 1944301 2883829 9147349 23083229 25275913 33053117 118915537 155504933 429690521 1362955001 2021564129 17718415013 23170235017 301213055221