Search a number
-
+
11101000020 = 22351116819697
BaseRepresentation
bin10100101011010101…
…11101000101010100
31001122122111020012220
422111222331011110
5140213324000040
65033312542340
7542043641355
oct122552750524
931578436186
1011101000020
114787252690
1221998519b0
13107bb2b386
14774481d2c
1544e8902d0
hex295abd154

11101000020 has 48 divisors (see below), whose sum is σ = 33908511168. Its totient is φ = 2691151360.

The previous prime is 11101000019. The next prime is 11101000039. The reversal of 11101000020 is 2000010111.

11101000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 11100999972 and 11101000008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8409189 + ... + 8410508.

It is an arithmetic number, because the mean of its divisors is an integer number (706427316).

Almost surely, 211101000020 is an apocalyptic number.

11101000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101000020 is an abundant number, since it is smaller than the sum of its proper divisors (22807511148).

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

11101000020 is a wasteful number, since it uses less digits than its factorization.

11101000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16819720 (or 16819718 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11101000020 its reverse (2000010111), we get a palindrome (13101010131).

The spelling of 11101000020 in words is "eleven billion, one hundred one million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 16819697 33639394 50459091 67278788 84098485 100918182 168196970 185016667 201836364 252295455 336393940 370033334 504590910 555050001 740066668 925083335 1009181820 1110100002 1850166670 2220200004 2775250005 3700333340 5550500010 11101000020