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122213323312221 = 31072971712811753
BaseRepresentation
bin11011110010011100000001…
…101110010000110001011101
3121000201110221122001221212010
4123302130001232100301131
5112004320341231442341
61111532005312501433
734512423040006131
oct3362340156206135
9530643848057763
10122213323312221
1135a39419a07929
121185991684a879
1353268893528bb
14222722928b3c1
15e1e0b05c0716
hex6f2701b90c5d

122213323312221 has 16 divisors (see below), whose sum is σ = 164479552720704. Its totient is φ = 80711372755584.

The previous prime is 122213323312147. The next prime is 122213323312303.

It is a happy number.

122213323312221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122213323312221 - 213 = 122213323304029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122213323311221) 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, 3133281 + ... + 15945033.

It is an arithmetic number, because the mean of its divisors is an integer number (10279972045044).

Almost surely, 2122213323312221 is an apocalyptic number.

It is an amenable number.

122213323312221 is a deficient number, since it is larger than the sum of its proper divisors (42266229408483).

122213323312221 is a wasteful number, since it uses less digits than its factorization.

122213323312221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12841580.

The product of its digits is 10368, while the sum is 30.

The spelling of 122213323312221 in words is "one hundred twenty-two trillion, two hundred thirteen billion, three hundred twenty-three million, three hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 107 321 29717 89151 3179719 9539157 12811753 38435259 1370857571 4112572713 380726863901 1142180591703 40737774437407 122213323312221