Search a number
-
+
11010222000100 = 2252971135074433
BaseRepresentation
bin1010000000111000010001…
…0111110000011111100100
31102222120022022011002022201
42200032010113300133210
52420342413313000400
635230005352304244
72214314364562021
oct240160427603744
942876268132281
1011010222000100
113565455312984
121299a310a2084
1361b34b0cc41b
142a0c7cda6548
15141603cba06a
hexa03845f07e4

11010222000100 has 36 divisors (see below), whose sum is σ = 24138492913444. Its totient is φ = 4358685818880.

The previous prime is 11010222000097. The next prime is 11010222000109. The reversal of 11010222000100 is 100022201011.

It can be written as a sum of positive squares in 6 ways, for example, as 1149265473444 + 9860956526656 = 1072038^2 + 3140216^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11010222000109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 567527517 + ... + 567546916.

Almost surely, 211010222000100 is an apocalyptic number.

11010222000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11010222000100 is an abundant number, since it is smaller than the sum of its proper divisors (13128270913344).

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

11010222000100 is a wasteful number, since it uses less digits than its factorization.

11010222000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135074544 (or 1135074537 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11010222000100 its reverse (100022201011), we get a palindrome (11110244201111).

The spelling of 11010222000100 in words is "eleven trillion, ten billion, two hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4850 9700 1135074433 2270148866 4540297732 5675372165 11350744330 22701488660 28376860825 56753721650 110102220001 113507443300 220204440002 440408880004 550511100005 1101022200010 2202044400020 2752555500025 5505111000050 11010222000100