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112002202122111 = 3271993569091163
BaseRepresentation
bin11001011101110110001011…
…011110001011011101111111
3112200120022021001002000201100
4121131312023132023131333
5104140021002220401421
61034113033515544143
732406614656662660
oct3135661336133577
9480508231060640
10112002202122111
113276195a22aa04
121068a93aa5b053
134a659bab2b062
141d92d15061367
15ce367abcac26
hex65dd8b78b77f

112002202122111 has 24 divisors (see below), whose sum is σ = 194623709621120. Its totient is φ = 60632771072976.

The previous prime is 112002202122089. The next prime is 112002202122197. The reversal of 112002202122111 is 111221202200211.

112002202122111 is a `hidden beast` number, since 1 + 1 + 20 + 0 + 220 + 212 + 211 + 1 = 666.

It is not a de Polignac number, because 112002202122111 - 214 = 112002202105727 is a prime.

It is a super-3 number, since 3×1120022021221113 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112002202122311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46784544385 + ... + 46784546778.

Almost surely, 2112002202122111 is an apocalyptic number.

112002202122111 is a deficient number, since it is larger than the sum of its proper divisors (82621507499009).

112002202122111 is a wasteful number, since it uses less digits than its factorization.

112002202122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93569091195 (or 93569091192 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112002202122111 its reverse (111221202200211), we get a palindrome (223223404322322).

It can be divided in two parts, 11200220 and 2122111, that added together give a palindrome (13322331).

The spelling of 112002202122111 in words is "one hundred twelve trillion, two billion, two hundred two million, one hundred twenty-two thousand, one hundred eleven".

Divisors: 1 3 7 9 19 21 57 63 133 171 399 1197 93569091163 280707273489 654983638141 842121820467 1777812732097 1964950914423 5333438196291 5894852743269 12444689124679 16000314588873 37334067374037 112002202122111