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211122011022 = 231341241273929
BaseRepresentation
bin1100010010011111011…
…0100011101110001110
3202011221110022101101120
43010213312203232032
511424334213323042
6240553233221410
721152541325056
oct3044766435616
9664843271346
10211122011022
118159996474a
1234b00401866
1316ba75c5ba0
14a30b272566
155759ab4dec
hex3127da3b8e

211122011022 has 64 divisors (see below), whose sum is σ = 467749719360. Its totient is φ = 63113011200.

The previous prime is 211122011017. The next prime is 211122011047. The reversal of 211122011022 is 220110221112.

It is a junction number, because it is equal to n+sod(n) for n = 211122010992 and 211122011010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633754 + ... + 907682.

It is an arithmetic number, because the mean of its divisors is an integer number (7308589365).

Almost surely, 2211122011022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211122011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233874859680).

211122011022 is an abundant number, since it is smaller than the sum of its proper divisors (256627708338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211122011022 is a wasteful number, since it uses less digits than its factorization.

211122011022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274229.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211122011022 its reverse (220110221112), we get a palindrome (431232232134).

The spelling of 211122011022 in words is "two hundred eleven billion, one hundred twenty-two million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 241 246 482 533 723 1066 1446 1599 3133 3198 6266 9399 9881 18798 19762 29643 59286 128453 256906 273929 385359 547858 770718 821787 1643574 3561077 7122154 10683231 11231089 21366462 22462178 33693267 66016889 67386534 132033778 146004157 198050667 292008314 396101334 438012471 858219557 876024942 1716439114 2574658671 2706692449 5149317342 5413384898 8120077347 16240154694 35187001837 70374003674 105561005511 211122011022