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212021113311 = 32713125690187
BaseRepresentation
bin1100010101110101110…
…0010111000111011111
3202021021010010111212100
43011131130113013133
511433204401111221
6241222352140143
721214036504410
oct3053534270737
9667233114770
10212021113311
1181a10433597
1235111537653
1316cbb966a87
14a394837807
1557ad9b5926
hex315d7171df

212021113311 has 24 divisors (see below), whose sum is σ = 352674900864. Its totient is φ = 120230070480.

The previous prime is 212021113301. The next prime is 212021113321. The reversal of 212021113311 is 113311120212.

212021113311 is a `hidden beast` number, since 2 + 120 + 211 + 1 + 331 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (212021113301) and next prime (212021113321).

It is not a de Polignac number, because 212021113311 - 210 = 212021112287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021113301) 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 23 ways as a sum of consecutive naturals, for example, 12836841 + ... + 12853346.

It is an arithmetic number, because the mean of its divisors is an integer number (14694787536).

Almost surely, 2212021113311 is an apocalyptic number.

212021113311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212021113311 is a deficient number, since it is larger than the sum of its proper divisors (140653787553).

212021113311 is a wasteful number, since it uses less digits than its factorization.

212021113311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25690331 (or 25690328 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 212021113311 its reverse (113311120212), we get a palindrome (325332233523).

The spelling of 212021113311 in words is "two hundred twelve billion, twenty-one million, one hundred thirteen thousand, three hundred eleven".

Divisors: 1 3 7 9 21 63 131 393 917 1179 2751 8253 25690187 77070561 179831309 231211683 539493927 1618481781 3365414497 10096243491 23557901479 30288730473 70673704437 212021113311