Search a number
-
+
11231256162220 = 22519731507326861
BaseRepresentation
bin1010001101101111101100…
…0010001010111110101100
31110202200211112220220210121
42203123323002022332230
52433003103034142340
635515322353414324
72236300666135603
oct243337302127654
943680745826717
1011231256162220
11364017033a436
121314838b6a3a4
13636145134973
142ab84a850a3a
1514723db8894a
hexa36fb08afac

11231256162220 has 96 divisors (see below), whose sum is σ = 25169689702080. Its totient is φ = 4197318082560.

The previous prime is 11231256162193. The next prime is 11231256162229. The reversal of 11231256162220 is 2226165213211.

It is a happy number.

It is a super-2 number, since 2×112312561622202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11231256162229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418111590 + ... + 418138450.

It is an arithmetic number, because the mean of its divisors is an integer number (262184267730).

Almost surely, 211231256162220 is an apocalyptic number.

11231256162220 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 11231256162220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12584844851040).

11231256162220 is an abundant number, since it is smaller than the sum of its proper divisors (13938433539860).

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

11231256162220 is a wasteful number, since it uses less digits than its factorization.

11231256162220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42035 (or 42033 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 11231256162220 in words is "eleven trillion, two hundred thirty-one billion, two hundred fifty-six million, one hundred sixty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 73 76 95 146 190 292 365 380 730 1387 1460 2774 5548 6935 13870 15073 26861 27740 30146 53722 60292 75365 107444 134305 150730 268610 286387 301460 510359 537220 572774 1020718 1100329 1145548 1431935 1960853 2041436 2200658 2551795 2863870 3921706 4401316 5103590 5501645 5727740 7843412 9804265 10207180 11003290 19608530 20906251 22006580 37256207 39217060 41812502 74512414 83625004 104531255 149024828 186281035 209062510 372562070 404875853 418125020 745124140 809751706 1619503412 2024379265 4048758530 7692641207 8097517060 15385282414 29555937269 30770564828 38463206035 59111874538 76926412070 118223749076 147779686345 153852824140 295559372690 561562808111 591118745380 1123125616222 2246251232444 2807814040555 5615628081110 11231256162220