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231322212211122 = 23212851234011729
BaseRepresentation
bin110100100110001011100110…
…010010011001100110110010
31010100001012001200212111200200
4310212023212102121212302
5220304440342311223442
62135551542433100030
766503323030250424
oct6446134622314662
91110035050774620
10231322212211122
116778522126556a
1221b3b9649b7616
139c0c78b5b8946
14411a0aa57a814
151bb234cd3934c
hexd262e64999b2

231322212211122 has 12 divisors (see below), whose sum is σ = 501198126457470. Its totient is φ = 77107404070368.

The previous prime is 231322212211061. The next prime is 231322212211141. The reversal of 231322212211122 is 221112212223132.

231322212211122 is a `hidden beast` number, since 2 + 3 + 1 + 322 + 2 + 1 + 2 + 211 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 138576240529281 + 92745971681841 = 11771841^2 + 9630471^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 6425617005847 + ... + 6425617005882.

Almost surely, 2231322212211122 is an apocalyptic number.

231322212211122 is an abundant number, since it is smaller than the sum of its proper divisors (269875914246348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231322212211122 is a wasteful number, since it uses less digits than its factorization.

231322212211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12851234011737 (or 12851234011734 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 231322212211122 its reverse (221112212223132), we get a palindrome (452434424434254).

The spelling of 231322212211122 in words is "two hundred thirty-one trillion, three hundred twenty-two billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 12851234011729 25702468023458 38553702035187 77107404070374 115661106105561 231322212211122