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122211320231 = 71121319599901
BaseRepresentation
bin111000111010001011…
…1001100000110100111
3102200110010011022120202
41301310113030012213
54000242044221411
6132050524421115
711554340040110
oct1616427140647
9380403138522
10122211320231
1147914116800
121b8283a779b
13b6a8380490
145cb4ccd207
1532a41ab83b
hex1c745cc1a7

122211320231 has 96 divisors (see below), whose sum is σ = 177000230400. Its totient is φ = 81857952000.

The previous prime is 122211320227. The next prime is 122211320237. The reversal of 122211320231 is 132023112221.

It is not a de Polignac number, because 122211320231 - 22 = 122211320227 is a prime.

It is a super-2 number, since 2×1222113202312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211320237) 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 95 ways as a sum of consecutive naturals, for example, 12338381 + ... + 12348281.

It is an arithmetic number, because the mean of its divisors is an integer number (1843752400).

Almost surely, 2122211320231 is an apocalyptic number.

122211320231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122211320231 is a deficient number, since it is larger than the sum of its proper divisors (54788910169).

122211320231 is a wasteful number, since it uses less digits than its factorization.

122211320231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021 (or 10010 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122211320231 its reverse (132023112221), we get a palindrome (254234432452).

The spelling of 122211320231 in words is "one hundred twenty-two billion, two hundred eleven million, three hundred twenty thousand, two hundred thirty-one".

Divisors: 1 7 11 13 19 59 77 91 121 133 143 209 247 413 649 767 847 1001 1121 1463 1573 1729 2299 2717 4543 5369 7139 7847 8437 9901 11011 12331 14573 16093 19019 29887 49973 59059 69307 86317 92807 102011 108911 128713 135641 160303 188119 209209 584159 649649 762377 900991 949487 1122121 1198021 1316833 1415843 1763333 2069309 2445547 4089113 6425749 7594067 8386147 9910901 11099021 12343331 14485163 15574273 17118829 22762399 26901017 44980243 53158469 70683239 77693147 83534737 109019911 122089231 144287273 159336793 188307119 295911187 494782673 584743159 854624617 918882107 1010010911 1342981541 1587160003 2071378309 6432174749 9400870787 11110120021 17458760033 122211320231