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220302232113301 = 13254111172157157
BaseRepresentation
bin110010000101110100011100…
…010010011101000010010101
31001220000200120100010200210021
4302011310130102131002111
5212333412432410111201
62100313240454425141
764255211453041042
oct6205643422350225
91056020510120707
10220302232113301
1164216719840418
122086006b9621b1
1395c0546967a00
143c589836201c9
151a70877545ea1
hexc85d1c49d095

220302232113301 has 24 divisors (see below), whose sum is σ = 239207138447784. Its totient is φ = 202798204727040.

The previous prime is 220302232113263. The next prime is 220302232113347. The reversal of 220302232113301 is 103311232203022.

It can be written as a sum of positive squares in 12 ways, for example, as 141686789207076 + 78615442906225 = 11903226^2 + 8866535^2 .

It is not a de Polignac number, because 220302232113301 - 245 = 185117860024469 is a prime.

It is a super-2 number, since 2×2203022321133012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220302232117301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101047615 + ... + 103204771.

It is an arithmetic number, because the mean of its divisors is an integer number (9966964101991).

Almost surely, 2220302232113301 is an apocalyptic number.

It is an amenable number.

220302232113301 is a deficient number, since it is larger than the sum of its proper divisors (18904906334483).

220302232113301 is a wasteful number, since it uses less digits than its factorization.

220302232113301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158841 (or 2158828 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 220302232113301 its reverse (103311232203022), we get a palindrome (323613464316323).

The spelling of 220302232113301 in words is "two hundred twenty trillion, three hundred two billion, two hundred thirty-two million, one hundred thirteen thousand, three hundred one".

Divisors: 1 13 169 541 1117 7033 14521 91429 188773 604297 2157157 7855861 28043041 102126193 364559533 1167021937 2409544369 15171285181 31324076797 197226707353 407212998361 1303563503629 16946325547177 220302232113301