Search a number
-
+
1112022012100 = 22524126615241
BaseRepresentation
bin10000001011101001101…
…011010101000011000100
310221022022201121021000011
4100023221223111003010
5121204410113341400
62210504511000004
7143224641100336
oct20135153250304
93838281537004
101112022012100
1139967348768a
1215b625b09004
1380b2b678cbc
143bb71db5456
151ddd611d8ba
hex102e9ad50c4

1112022012100 has 54 divisors (see below), whose sum is σ = 2473379446622. Its totient is φ = 433959744000.

The previous prime is 1112022012091. The next prime is 1112022012107. The reversal of 1112022012100 is 12102202111.

It can be written as a sum of positive squares in 9 ways, for example, as 1022683193284 + 89338818816 = 1011278^2 + 298896^2 .

It is not an unprimeable number, because it can be changed into a prime (1112022012107) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 3139521 + ... + 3475720.

Almost surely, 21112022012100 is an apocalyptic number.

1112022012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1112022012100 is an abundant number, since it is smaller than the sum of its proper divisors (1361357434522).

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

1112022012100 is a wasteful number, since it uses less digits than its factorization.

1112022012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615337 (or 6615289 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1112022012100 its reverse (12102202111), we get a palindrome (1124124214211).

The spelling of 1112022012100 in words is "one trillion, one hundred twelve billion, twenty-two million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1681 2050 3362 4100 6724 8405 16810 33620 42025 84050 168100 6615241 13230482 26460964 33076205 66152410 132304820 165381025 271224881 330762050 542449762 661524100 1084899524 1356124405 2712248810 5424497620 6780622025 11120220121 13561244050 22240440242 27122488100 44480880484 55601100605 111202201210 222404402420 278005503025 556011006050 1112022012100