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211120113213 = 32174213277601
BaseRepresentation
bin1100010010011110111…
…1010100011000111101
3202011221022201222002100
43010213233110120331
511424333222110323
6240553124415313
721152516232102
oct3044757243075
9664838658070
10211120113213
1181598888909
1234abb847539
1316ba70b0119
14a30acdaaa9
15575983c943
hex3127bd463d

211120113213 has 24 divisors (see below), whose sum is σ = 323656642296. Its totient is φ = 132152832000.

The previous prime is 211120113181. The next prime is 211120113277. The reversal of 211120113213 is 312311021112.

211120113213 is a `hidden beast` number, since 211 + 120 + 11 + 321 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20637620964 + 190482492249 = 143658^2 + 436443^2 .

It is not a de Polignac number, because 211120113213 - 25 = 211120113181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211120113313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1574388 + ... + 1703213.

It is an arithmetic number, because the mean of its divisors is an integer number (13485693429).

Almost surely, 2211120113213 is an apocalyptic number.

It is an amenable number.

211120113213 is a deficient number, since it is larger than the sum of its proper divisors (112536529083).

211120113213 is a wasteful number, since it uses less digits than its factorization.

211120113213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278045 (or 3278042 counting only the distinct ones).

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

Adding to 211120113213 its reverse (312311021112), we get a palindrome (523431134325).

The spelling of 211120113213 in words is "two hundred eleven billion, one hundred twenty million, one hundred thirteen thousand, two hundred thirteen".

Divisors: 1 3 9 17 51 153 421 1263 3789 7157 21471 64413 3277601 9832803 29498409 55719217 167157651 501472953 1379870021 4139610063 12418830189 23457790357 70373371071 211120113213