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122212030131331 = 7591272330022881
BaseRepresentation
bin11011110010011010110100…
…101001001010110010000011
3121000201100121111201120011121
4123302122310221022302003
5112004310214203200311
61111531233115253111
734512346015106350
oct3362326451126203
9530640544646147
10122212030131331
1135a38915a47998
121185961574a197
1353267114646ca
142227145623627
15e1e036ccab71
hex6f26b4a4ac83

122212030131331 has 16 divisors (see below), whose sum is σ = 143156605870080. Its totient is φ = 102166843242240.

The previous prime is 122212030131329. The next prime is 122212030131353. The reversal of 122212030131331 is 133131030212221.

It is not a de Polignac number, because 122212030131331 - 21 = 122212030131329 is a prime.

It is a super-2 number, since 2×1222120301313312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122212030131296 and 122212030131305.

It is not an unprimeable number, because it can be changed into a prime (122212030131391) 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, 1164958990 + ... + 1165063891.

It is an arithmetic number, because the mean of its divisors is an integer number (8947287866880).

Almost surely, 2122212030131331 is an apocalyptic number.

122212030131331 is a deficient number, since it is larger than the sum of its proper divisors (20944575738749).

122212030131331 is a wasteful number, since it uses less digits than its factorization.

122212030131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330023074.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 122212030131331 its reverse (133131030212221), we get a palindrome (255343060343552).

The spelling of 122212030131331 in words is "one hundred twenty-two trillion, two hundred twelve billion, thirty million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 7 59 127 413 889 7493 52451 2330022881 16310160167 137471349979 295912905887 962299449853 2071390341209 17458861447333 122212030131331