Search a number
-
+
11122100111112 = 233479860017829
BaseRepresentation
bin1010000111011001000011…
…0100111000011100001000
31110101021002021112222122220
42201312100310320130020
52424211030112023422
635353231112414040
72225355003044544
oct241662064703410
943337067488586
1011122100111112
1135a8946618651
1212b76549a7320
13628a6a737a03
142a6453796a24
151444a0be9e5c
hexa1d90d38708

11122100111112 has 32 divisors (see below), whose sum is σ = 28396851350400. Its totient is φ = 3628486560704.

The previous prime is 11122100111077. The next prime is 11122100111113. The reversal of 11122100111112 is 21111100122111.

It is a super-2 number, since 2×111221001111122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11122100111091 and 11122100111100.

It is not an unprimeable number, because it can be changed into a prime (11122100111113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4930007787 + ... + 4930010042.

It is an arithmetic number, because the mean of its divisors is an integer number (887401604700).

Almost surely, 211122100111112 is an apocalyptic number.

11122100111112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11122100111112 is an abundant number, since it is smaller than the sum of its proper divisors (17274751239288).

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

11122100111112 is a wasteful number, since it uses less digits than its factorization.

11122100111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9860017885 (or 9860017881 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 11122100111112 its reverse (21111100122111), we get a palindrome (32233200233223).

The spelling of 11122100111112 in words is "eleven trillion, one hundred twenty-two billion, one hundred million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 9860017829 19720035658 29580053487 39440071316 59160106974 78880142632 118320213948 236640427896 463420837963 926841675926 1390262513889 1853683351852 2780525027778 3707366703704 5561050055556 11122100111112