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11020000012122 = 23192919117452007
BaseRepresentation
bin1010000001011100101100…
…1011111010011101011010
31110000111112202012120012010
42200113023023322131122
52421022430000341442
635234303525130350
72215111605400503
oct240271313723532
943014482176163
1011020000012122
113569612797052
12129b8bb8599b6
1361c248b0435a
142a1529861baa
151419c7428b9c
hexa05cb2fa75a

11020000012122 has 64 divisors (see below), whose sum is σ = 24125655859200. Its totient is φ = 3342408189120.

The previous prime is 11020000012121. The next prime is 11020000012159. The reversal of 11020000012122 is 22121000002011.

11020000012122 is a modest number, since divided by 12122 gives 1102 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 11020000012098 and 11020000012107.

It is not an unprimeable number, because it can be changed into a prime (11020000012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8094558 + ... + 9357449.

It is an arithmetic number, because the mean of its divisors is an integer number (376963372800).

Almost surely, 211020000012122 is an apocalyptic number.

11020000012122 is an abundant number, since it is smaller than the sum of its proper divisors (13105655847078).

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

11020000012122 is a wasteful number, since it uses less digits than its factorization.

11020000012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17452251.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11020000012122 its reverse (22121000002011), we get a palindrome (33141000014133).

The spelling of 11020000012122 in words is "eleven trillion, twenty billion, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 19 29 38 57 58 87 114 174 191 382 551 573 1102 1146 1653 3306 3629 5539 7258 10887 11078 16617 21774 33234 105241 210482 315723 631446 17452007 34904014 52356021 104712042 331588133 506108203 663176266 994764399 1012216406 1518324609 1989528798 3036649218 3333333337 6666666674 9616055857 10000000011 19232111714 20000000022 28848167571 57696335142 63333333403 96666666773 126666666806 190000000209 193333333546 290000000319 380000000418 580000000638 1836666668687 3673333337374 5510000006061 11020000012122