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11022022022011 = 721131321019901
BaseRepresentation
bin1010000001100100001110…
…1101010001001101111011
31110000200202122222022022021
42200121003231101031323
52421041100114201021
635235240315535311
72215212660242200
oct240310355211573
943020678868267
1011022022022011
11356a4600a7000
1212a0184a5a537
1361c4ab9b6900
142a167c209ca7
15141a94bd7c41
hexa0643b5137b

11022022022011 has 144 divisors (see below), whose sum is σ = 15423754923936. Its totient is φ = 7848640800000.

The previous prime is 11022022021987. The next prime is 11022022022021.

It is a happy number.

11022022022011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11022022022011 - 211 = 11022022019963 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11022022022021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1113218161 + ... + 1113228061.

It is an arithmetic number, because the mean of its divisors is an integer number (107109409194).

Almost surely, 211022022022011 is an apocalyptic number.

11022022022011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11022022022011 is a deficient number, since it is larger than the sum of its proper divisors (4401732901925).

11022022022011 is a wasteful number, since it uses less digits than its factorization.

11022022022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10075 (or 10033 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

It can be divided in two parts, 1102202 and 2022011, that added together give a palindrome (3124213).

The spelling of 11022022022011 in words is "eleven trillion, twenty-two billion, twenty-two million, twenty-two thousand, eleven".

Divisors: 1 7 11 13 49 77 91 101 121 143 169 539 637 707 847 1001 1111 1183 1313 1331 1573 1859 4949 5929 7007 7777 8281 9191 9317 9901 11011 12221 13013 14443 17069 17303 20449 54439 64337 65219 69307 77077 85547 91091 101101 108911 119483 121121 128713 134431 143143 158873 187759 224939 485149 598829 707707 762377 836381 847847 900991 941017 1000001 1002001 1112111 1198021 1314313 1415843 1574573 1673269 1747603 2065349 5336639 6306937 6587119 7000007 7784777 8386147 9200191 9910901 11000011 11022011 11712883 12233221 13000013 13178231 14457443 15574273 18405959 22718839 49000049 58703029 69376307 77000077 81990181 85632547 91000091 92247617 101202101 109019911 121000121 128841713 143000143 159031873 169000169 171317003 202465549 539000539 637000637 645733319 763139377 847000847 901891991 1001001001 1113223111 1183001183 1199219021 1331001331 1417258843 1573001573 1859001859 2227121039 5929005929 7007007007 8281008281 8394533147 9317009317 9920811901 11011011011 13013013013 15589847273 17303017303 20449020449 65219065219 77077077077 91091091091 109128930911 121121121121 143143143143 224939224939 847847847847 1002002002001 1574574574573 11022022022011