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1112201203201 = 112101686913249
BaseRepresentation
bin10000001011110100010…
…110111000111000000001
310221022210012210002222121
4100023310112320320001
5121210242002000301
62210534351404241
7143232245146354
oct20136426707001
93838705702877
101112201203201
11399755647600
1215b675b23681
1380b5982893a
143bb8badc29b
151dde6c173a1
hex102f45b8e01

1112201203201 has 24 divisors (see below), whose sum is σ = 1234879065000. Its totient is φ = 1000859904000.

The previous prime is 1112201203199. The next prime is 1112201203207. The reversal of 1112201203201 is 1023021022111.

It can be written as a sum of positive squares in 4 ways, for example, as 56537426176 + 1055663777025 = 237776^2 + 1027455^2 .

It is not a de Polignac number, because 1112201203201 - 21 = 1112201203199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1112201203207) 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 23 ways as a sum of consecutive naturals, for example, 83939425 + ... + 83952673.

It is an arithmetic number, because the mean of its divisors is an integer number (51453294375).

Almost surely, 21112201203201 is an apocalyptic number.

1112201203201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1112201203201 is a deficient number, since it is larger than the sum of its proper divisors (122677861799).

1112201203201 is a wasteful number, since it uses less digits than its factorization.

1112201203201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20241 (or 20230 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1112201203201 its reverse (1023021022111), we get a palindrome (2135222225312).

The spelling of 1112201203201 in words is "one trillion, one hundred twelve billion, two hundred one million, two hundred three thousand, two hundred one".

Divisors: 1 11 101 121 1111 6869 12221 13249 75559 145739 693769 831149 1338149 1603129 7631459 14719639 83946049 91007381 161916029 1001081191 9191745481 11011893101 101109200291 1112201203201