Search a number
-
+
11122110012020 = 2257211349091849
BaseRepresentation
bin1010000111011001000101…
…1010101001101001110100
31110101021002222012000011012
42201312101122221221310
52424211040130341040
635353232104531352
72225355153152300
oct241662132515164
943337088160135
1011122110012020
1135a8951170317
1212b7658180b58
13628a6c7c3437
142a6454c12d00
151444a1a03865
hexa1d916a9a74

11122110012020 has 36 divisors (see below), whose sum is σ = 27169725888900. Its totient is φ = 3813294860928.

The previous prime is 11122110011993. The next prime is 11122110012031. The reversal of 11122110012020 is 2021001122111.

It can be written as a sum of positive squares in 2 ways, for example, as 5192583068176 + 5929526943844 = 2278724^2 + 2435062^2 .

It is a super-2 number, since 2×111221100120202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11122110011986 and 11122110012004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5674544945 + ... + 5674546904.

It is an arithmetic number, because the mean of its divisors is an integer number (754714608025).

Almost surely, 211122110012020 is an apocalyptic number.

11122110012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11122110012020 is an abundant number, since it is smaller than the sum of its proper divisors (16047615876880).

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

11122110012020 is a wasteful number, since it uses less digits than its factorization.

11122110012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11349091872 (or 11349091863 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11122110012020 its reverse (2021001122111), we get a palindrome (13143111134131).

The spelling of 11122110012020 in words is "eleven trillion, one hundred twenty-two billion, one hundred ten million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 11349091849 22698183698 45396367396 56745459245 79443642943 113490918490 158887285886 226981836980 317774571772 397218214715 556105500601 794436429430 1112211001202 1588872858860 2224422002404 2780527503005 5561055006010 11122110012020