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211201120999 = 1161683460843
BaseRepresentation
bin1100010010110010010…
…0010101101011100111
3202012010222011120212201
43010230210111223213
511430014441332444
6241005140555331
721154521623311
oct3045444255347
9665128146781
10211201120999
118162a5881a0
1234b229b2b47
1316bbab0411b
14a3179867b1
1557619dedd4
hex312c915ae7

211201120999 has 16 divisors (see below), whose sum is σ = 234521668224. Its totient is φ = 188576546400.

The previous prime is 211201120943. The next prime is 211201121017. The reversal of 211201120999 is 999021102112.

211201120999 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211201120999 - 223 = 211192732391 is a prime.

It is a super-2 number, since 2×2112011209992 (a number of 23 digits) contains 22 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 (211201120919) 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, 227872 + ... + 688714.

It is an arithmetic number, because the mean of its divisors is an integer number (14657604264).

Almost surely, 2211201120999 is an apocalyptic number.

211201120999 is a deficient number, since it is larger than the sum of its proper divisors (23320547225).

211201120999 is a wasteful number, since it uses less digits than its factorization.

211201120999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461598.

The product of its (nonzero) digits is 5832, while the sum is 37.

The spelling of 211201120999 in words is "two hundred eleven billion, two hundred one million, one hundred twenty thousand, nine hundred ninety-nine".

Divisors: 1 11 61 671 683 7513 41663 458293 460843 5069273 28111423 309225653 314755769 3462313459 19200101909 211201120999