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211112123221131 = 31159910680028493
BaseRepresentation
bin110000000000000101011111…
…000111001100010010001011
31000200111010021211220112002120
4300000011133013030102023
5210132330112021034011
62024555323122502323
762316230134251516
oct6000053707142213
91020433254815076
10211112123221131
11612a316a970880
121b816b3ab049a3
1390a4a31a3b2a2
143a1bc4a351d7d
15196179de43a06
hexc0015f1cc48b

211112123221131 has 16 divisors (see below), whose sum is σ = 307584820627200. Its totient is φ = 127733140764320.

The previous prime is 211112123221127. The next prime is 211112123221157. The reversal of 211112123221131 is 131122321211112.

It is a cyclic number.

It is not a de Polignac number, because 211112123221131 - 22 = 211112123221127 is a prime.

It is a super-2 number, since 2×2111121232211312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211112123221331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5339994480 + ... + 5340034013.

It is an arithmetic number, because the mean of its divisors is an integer number (19224051289200).

Almost surely, 2211112123221131 is an apocalyptic number.

211112123221131 is a deficient number, since it is larger than the sum of its proper divisors (96472697406069).

211112123221131 is a wasteful number, since it uses less digits than its factorization.

211112123221131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10680029106.

The product of its digits is 288, while the sum is 24.

Adding to 211112123221131 its reverse (131122321211112), we get a palindrome (342234444432243).

The spelling of 211112123221131 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred twenty-three million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 11 33 599 1797 6589 19767 10680028493 32040085479 117480313423 352440940269 6397337067307 19192011201921 70370707740377 211112123221131