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122210220231 = 351145720247
BaseRepresentation
bin111000111010001001…
…0111111100011000111
3102200110001002102200000
41301310102333203013
54000241304021411
6132050445052343
711554324506111
oct1616422774307
9380401072600
10122210220231
1147913535310
121b827b570b3
13b6a80868a8
145cb4ac43b1
1532a4040956
hex1c744bf8c7

122210220231 has 24 divisors (see below), whose sum is σ = 199706043264. Its totient is φ = 74066798520.

The previous prime is 122210220203. The next prime is 122210220241. The reversal of 122210220231 is 132022012221.

122210220231 is a `hidden beast` number, since 1 + 2 + 2 + 210 + 220 + 231 = 666.

It is not a de Polignac number, because 122210220231 - 25 = 122210220199 is a prime.

It is a super-2 number, since 2×1222102202312 (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 (122210220241) 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, 22857451 + ... + 22862796.

It is an arithmetic number, because the mean of its divisors is an integer number (8321085136).

Almost surely, 2122210220231 is an apocalyptic number.

122210220231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122210220231 is a deficient number, since it is larger than the sum of its proper divisors (77495823033).

122210220231 is an equidigital number, since it uses as much as digits as its factorization.

122210220231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45720273 (or 45720261 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122210220231 its reverse (132022012221), we get a palindrome (254232232452).

The spelling of 122210220231 in words is "one hundred twenty-two billion, two hundred ten million, two hundred twenty thousand, two hundred thirty-one".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 45720247 137160741 411482223 502922717 1234446669 1508768151 3703340007 4526304453 11110020021 13578913359 40736740077 122210220231