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222131222012331 = 3312925876364819
BaseRepresentation
bin110010100000011011110100…
…100101001110000110101011
31002010111112111210022022121000
4302200123310211032012223
5213103344220313343311
62104233401415450043
764534310520500142
oct6240336445160653
91063445453268530
10222131222012331
116486135a971245
1220ab6628986923
1396c3b65c0c308
143cbd2cc21a759
151aa322219e056
hexca06f494e1ab

222131222012331 has 16 divisors (see below), whose sum is σ = 329083598166400. Its totient is φ = 148087343508264.

The previous prime is 222131222012299. The next prime is 222131222012347. The reversal of 222131222012331 is 133210222131222.

222131222012331 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 3 + 122 + 201 + 2 + 331 = 666.

It is not a de Polignac number, because 222131222012331 - 25 = 222131222012299 is a prime.

It is a super-2 number, since 2×2221312220123312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 222131222012295 and 222131222012304.

It is not an unprimeable number, because it can be changed into a prime (222131222012731) 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 15 ways as a sum of consecutive naturals, for example, 31717440 + ... + 38082258.

It is an arithmetic number, because the mean of its divisors is an integer number (20567724885400).

Almost surely, 2222131222012331 is an apocalyptic number.

222131222012331 is a deficient number, since it is larger than the sum of its proper divisors (106952376154069).

222131222012331 is a wasteful number, since it uses less digits than its factorization.

222131222012331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7657415 (or 7657409 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 222131222012331 its reverse (133210222131222), we get a palindrome (355341444143553).

The spelling of 222131222012331 in words is "two hundred twenty-two trillion, one hundred thirty-one billion, two hundred twenty-two million, twelve thousand, three hundred thirty-one".

Divisors: 1 3 9 27 1292587 3877761 6364819 11633283 19094457 34899849 57283371 171850113 8227082296753 24681246890259 74043740670777 222131222012331