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11000101112022 = 23111274313044891
BaseRepresentation
bin1010000000010010100100…
…0111101000100011010110
31102221121011221220200221010
42200010221013220203112
52420211201341041042
635221213210433050
72213505521466501
oct240045107504326
942847157820833
1011000101112022
11356113133a970
121297a87732786
1361a3c7366a59
142a059cb76138
151412104cd59c
hexa01291e88d6

11000101112022 has 64 divisors (see below), whose sum is σ = 24245330116608. Its totient is φ = 3299442804000.

The previous prime is 11000101111999. The next prime is 11000101112051. The reversal of 11000101112022 is 22021110100011.

It is a junction number, because it is equal to n+sod(n) for n = 11000101111989 and 11000101112007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2090197 + ... + 5135087.

It is an arithmetic number, because the mean of its divisors is an integer number (378833283072).

Almost surely, 211000101112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000101112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12122665058304).

11000101112022 is an abundant number, since it is smaller than the sum of its proper divisors (13245229004586).

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

11000101112022 is a wasteful number, since it uses less digits than its factorization.

11000101112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3045465.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11000101112022 its reverse (22021110100011), we get a palindrome (33021211212033).

The spelling of 11000101112022 in words is "eleven trillion, one hundred one million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 127 254 381 431 762 862 1293 1397 2586 2794 4191 4741 8382 9482 14223 28446 54737 109474 164211 328422 602107 1204214 1806321 3044891 3612642 6089782 9134673 18269346 33493801 66987602 100481403 200962806 386701157 773402314 1160103471 1312348021 2320206942 2624696042 3937044063 4253712727 7874088126 8507425454 12761138181 14435828231 25522276362 28871656462 43307484693 86614969386 166668198667 333336397334 500004596001 1000009192002 1833350185337 3666700370674 5500050556011 11000101112022