Search a number
-
+
21113132110100 = 2252211131321101
BaseRepresentation
bin1001100110011110010001…
…01111010101000100010100
32202202101200110220120211122
410303033020233111010110
510231404143310010400
6112523123342223112
74306242044603462
oct463171057250424
982671613816748
1021113132110100
116800035726788
12244ba49284a98
13ba1c62937a54
1452dc4983d832
15269303682685
hex1333c8bd5114

21113132110100 has 18 divisors (see below), whose sum is σ = 45815496679134. Its totient is φ = 8445252844000.

The previous prime is 21113132110087. The next prime is 21113132110121. The reversal of 21113132110100 is 101123131112.

It can be written as a sum of positive squares in 3 ways, for example, as 279549068176 + 20833583041924 = 528724^2 + 4564382^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105565660451 + ... + 105565660650.

It is an arithmetic number, because the mean of its divisors is an integer number (2545305371063).

Almost surely, 221113132110100 is an apocalyptic number.

21113132110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21113132110100 is an abundant number, since it is smaller than the sum of its proper divisors (24702364569034).

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

21113132110100 is a wasteful number, since it uses less digits than its factorization.

21113132110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211131321115 (or 211131321108 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 21113132110100 its reverse (101123131112), we get a palindrome (21214255241212).

The spelling of 21113132110100 in words is "twenty-one trillion, one hundred thirteen billion, one hundred thirty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211131321101 422262642202 844525284404 1055656605505 2111313211010 4222626422020 5278283027525 10556566055050 21113132110100