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122202113022231 = 31117247388082927
BaseRepresentation
bin11011110010010001100101…
…100010011001100100010111
3121000200102000100221012222120
4123302101211202121210113
5112004124411413202411
61111522513053231023
734511545165061004
oct3362214542314427
9530612010835876
10122202113022231
1135a34696aa9060
1211857708492473
1353257c09aa408
1422268844ba8ab
15e1db56343106
hex6f2465899917

122202113022231 has 32 divisors (see below), whose sum is σ = 188280429585408. Its totient is φ = 69677117783040.

The previous prime is 122202113022161. The next prime is 122202113022251. The reversal of 122202113022231 is 132220311202221.

It is not a de Polignac number, because 122202113022231 - 29 = 122202113021719 is a prime.

It is a super-2 number, since 2×1222021130222312 (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 (122202113022251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42654111 + ... + 45428816.

It is an arithmetic number, because the mean of its divisors is an integer number (5883763424544).

Almost surely, 2122202113022231 is an apocalyptic number.

122202113022231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122202113022231 is a deficient number, since it is larger than the sum of its proper divisors (66078316563177).

122202113022231 is a wasteful number, since it uses less digits than its factorization.

122202113022231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88085431.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 122202113022231 its reverse (132220311202221), we get a palindrome (254422424224452).

The spelling of 122202113022231 in words is "one hundred twenty-two trillion, two hundred two billion, one hundred thirteen million, twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 11 17 33 51 187 561 2473 7419 27203 42041 81609 126123 462451 1387353 88082927 264248781 968912197 1497409759 2906736591 4492229277 16471507349 49414522047 217829078471 653487235413 2396119863181 3703094334007 7188359589543 11109283002021 40734037674077 122202113022231