Search a number
-
+
1121110112122 = 2711131077151991
BaseRepresentation
bin10000010100000111010…
…111101011011101111010
310222011210002110120112021
4100110013113223131322
5121332013142041442
62215010400305054
7143666103501640
oct20240727533572
93864702416467
101121110112122
113a2507481750
1216134161218a
1381949464490
143c394da1190
151e268dede67
hex105075eb77a

1121110112122 has 64 divisors (see below), whose sum is σ = 2258153146368. Its totient is φ = 403151256000.

The previous prime is 1121110112081. The next prime is 1121110112123. The reversal of 1121110112122 is 2212110111211.

It is a super-2 number, since 2×11211101121222 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1121110112096 and 1121110112105.

It is not an unprimeable number, because it can be changed into a prime (1121110112123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21537547 + ... + 21589537.

It is an arithmetic number, because the mean of its divisors is an integer number (35283642912).

Almost surely, 21121110112122 is an apocalyptic number.

1121110112122 is an abundant number, since it is smaller than the sum of its proper divisors (1137043034246).

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

1121110112122 is a wasteful number, since it uses less digits than its factorization.

1121110112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62795.

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

Adding to 1121110112122 its reverse (2212110111211), we get a palindrome (3333220223333).

The spelling of 1121110112122 in words is "one trillion, one hundred twenty-one billion, one hundred ten million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 10771 21542 51991 75397 103982 118481 140023 150794 236962 280046 363937 571901 675883 727874 829367 980161 1143802 1351766 1540253 1658734 1960322 3080506 4003307 4731181 7434713 8006614 9462362 10781771 14869426 21563542 52042991 104085982 559995061 1119990122 3919965427 6159945671 7279935793 7839930854 12319891342 14559871586 43119619697 50959550551 80079293723 86239239394 101919101102 160158587446 560555056061 1121110112122