Search a number
-
+
11123101020 = 22351719954799
BaseRepresentation
bin10100101101111110…
…10000110101011100
31001201012002002002110
422112333100311130
5140240003213040
65035422354020
7542432540643
oct122677206534
931635062073
1011123101020
114798778479
1221a512b910
131083598ba5
1477739635a
154517a8980
hex296fd0d5c

11123101020 has 96 divisors (see below), whose sum is σ = 33143040000. Its totient is φ = 2777601024.

The previous prime is 11123101019. The next prime is 11123101039. The reversal of 11123101020 is 2010132111.

It is a super-2 number, since 2×111231010202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11123100987 and 11123101005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175581 + ... + 230379.

It is an arithmetic number, because the mean of its divisors is an integer number (345240000).

Almost surely, 211123101020 is an apocalyptic number.

11123101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11123101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16571520000).

11123101020 is an abundant number, since it is smaller than the sum of its proper divisors (22019938980).

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

11123101020 is a wasteful number, since it uses less digits than its factorization.

11123101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55027 (or 55025 counting only the distinct ones).

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

Adding to 11123101020 its reverse (2010132111), we get a palindrome (13133233131).

The spelling of 11123101020 in words is "eleven billion, one hundred twenty-three million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 199 204 255 340 398 510 597 796 995 1020 1194 1990 2388 2985 3383 3980 5970 6766 10149 11940 13532 16915 20298 33830 40596 50745 54799 67660 101490 109598 164397 202980 219196 273995 328794 547990 657588 821985 931583 1095980 1643970 1863166 2794749 3287940 3726332 4657915 5589498 9315830 10905001 11178996 13973745 18631660 21810002 27947490 32715003 43620004 54525005 55894980 65430006 109050010 130860012 163575015 185385017 218100020 327150030 370770034 556155051 654300060 741540068 926925085 1112310102 1853850170 2224620204 2780775255 3707700340 5561550510 11123101020