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211113232121 = 116710128110093
BaseRepresentation
bin1100010010011101010…
…1000100011011111001
3202011220211210101000002
43010213111010123321
511424324441411441
6240552321122345
721152403602441
oct3044725043371
9664824711002
10211113232121
1181594a08a60
1234ab94893b5
1316ba584107c
14a30a029121
155758e2db9b
hex31275446f9

211113232121 has 32 divisors (see below), whose sum is σ = 236920553856. Its totient is φ = 186500160000.

The previous prime is 211113232103. The next prime is 211113232133. The reversal of 211113232121 is 121232311112.

211113232121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-211113232121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211113232093 and 211113232102.

It is not an unprimeable number, because it can be changed into a prime (211113232151) 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 31 ways as a sum of consecutive naturals, for example, 20911751 + ... + 20921843.

It is an arithmetic number, because the mean of its divisors is an integer number (7403767308).

Almost surely, 2211113232121 is an apocalyptic number.

It is an amenable number.

211113232121 is a deficient number, since it is larger than the sum of its proper divisors (25807321735).

211113232121 is a wasteful number, since it uses less digits than its factorization.

211113232121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10553.

The product of its digits is 144, while the sum is 20.

Adding to 211113232121 its reverse (121232311112), we get a palindrome (332345543233).

The spelling of 211113232121 in words is "two hundred eleven billion, one hundred thirteen million, two hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 11 67 101 281 737 1111 3091 6767 10093 18827 28381 74437 111023 207097 312191 676231 1019393 1901527 2836133 7438541 11213323 20916797 31197463 68299331 190020911 286449433 751292641 2090230021 3150943763 19192112011 211113232121