Search a number
-
+
11010223031220 = 223257711011218557
BaseRepresentation
bin1010000000111000010001…
…1011101100001110110100
31102222120022101002110202100
42200032010123230032310
52420342414043444340
635230005430342100
72214314406415140
oct240160433541664
942876271073670
1011010223031220
113565455957646
121299a314ba930
1361b34b3a085a
142a0c7d194220
15141603e20830
hexa03846ec3b4

11010223031220 has 288 divisors, whose sum is σ = 39089624910336. Its totient is φ = 2456608896000.

The previous prime is 11010223031207. The next prime is 11010223031237. The reversal of 11010223031220 is 2213032201011.

11010223031220 is a `hidden beast` number, since 1 + 1 + 0 + 102 + 230 + 312 + 20 = 666.

It is a super-2 number, since 2×110102230312202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11010223031193 and 11010223031202.

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 95 ways as a sum of consecutive naturals, for example, 8426182 + ... + 9644738.

It is an arithmetic number, because the mean of its divisors is an integer number (135727864272).

Almost surely, 211010223031220 is an apocalyptic number.

11010223031220 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 11010223031220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19544812455168).

11010223031220 is an abundant number, since it is smaller than the sum of its proper divisors (28079401879116).

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

11010223031220 is a wasteful number, since it uses less digits than its factorization.

11010223031220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218751 (or 1218746 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11010223031220 its reverse (2213032201011), we get a palindrome (13223255232231).

The spelling of 11010223031220 in words is "eleven trillion, ten billion, two hundred twenty-three million, thirty-one thousand, two hundred twenty".