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11220221101122 = 2341135509177319
BaseRepresentation
bin1010001101000110100101…
…0010110000010001000010
31110201122100111111201210000
42203101221102300101002
52432313003100213442
635510255354020430
72235430352515035
oct243215122602102
943648314451700
1011220221101122
113636518334730
121312679417716
136350a6b82807
142ab0c105501c
15146ce4ec0d4c
hexa34694b0442

11220221101122 has 80 divisors (see below), whose sum is σ = 27428134219200. Its totient is φ = 3399952073760.

The previous prime is 11220221101097. The next prime is 11220221101123. The reversal of 11220221101122 is 22110112202211.

11220221101122 is a `hidden beast` number, since 1 + 1 + 220 + 221 + 101 + 122 = 666.

It is a super-2 number, since 2×112202211011222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11220221101095 and 11220221101104.

It is not an unprimeable number, because it can be changed into a prime (11220221101123) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63188379 + ... + 63365697.

It is an arithmetic number, because the mean of its divisors is an integer number (342851677740).

Almost surely, 211220221101122 is an apocalyptic number.

11220221101122 is an abundant number, since it is smaller than the sum of its proper divisors (16207913118078).

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

11220221101122 is a wasteful number, since it uses less digits than its factorization.

11220221101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212853 (or 212844 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11220221101122 its reverse (22110112202211), we get a palindrome (33330333303333).

The spelling of 11220221101122 in words is "eleven trillion, two hundred twenty billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 35509 71018 106527 177319 213054 319581 354638 390599 531957 639162 781198 958743 1063914 1171797 1595871 1917486 1950509 2343594 2876229 3191742 3515391 3901018 4787613 5752458 5851527 7030782 9575226 10546173 11703054 14362839 17554581 21092346 28725678 31638519 35109162 52663743 63277038 105327486 157991229 315982458 6296420371 12592840742 18889261113 37778522226 56667783339 69260624081 113335566678 138521248162 170003350017 207781872243 340006700034 415563744486 510010050051 623345616729 1020020100102 1246691233458 1870036850187 3740073700374 5610110550561 11220221101122