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1112000011201 = 19210167345317
BaseRepresentation
bin10000001011101000010…
…111011001101111000001
310221022021012012111110001
4100023220113121233001
5121204334000324301
62210502403240001
7143224253065642
oct20135027315701
93838235174401
101112000011201
11399662020022
1215b61a679001
1380b26c44c11
143bb6d0c96c9
151ddd4224c01
hex102e85d9bc1

1112000011201 has 24 divisors (see below), whose sum is σ = 1187013830184. Its totient is φ = 1041470438400.

The previous prime is 1112000011181. The next prime is 1112000011337. The reversal of 1112000011201 is 1021100002111.

It can be written as a sum of positive squares in 4 ways, for example, as 287000204176 + 824999807025 = 535724^2 + 908295^2 .

It is not a de Polignac number, because 1112000011201 - 215 = 1111999978433 is a prime.

It is a super-2 number, since 2×11120000112012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1112000011601) 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 23 ways as a sum of consecutive naturals, for example, 24515595 + ... + 24560911.

It is an arithmetic number, because the mean of its divisors is an integer number (49458909591).

Almost surely, 21112000011201 is an apocalyptic number.

It is an amenable number.

1112000011201 is a deficient number, since it is larger than the sum of its proper divisors (75013818983).

1112000011201 is a wasteful number, since it uses less digits than its factorization.

1112000011201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46129 (or 46110 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1112000011201 its reverse (1021100002111), we get a palindrome (2133100013312).

The spelling of 1112000011201 in words is "one trillion, one hundred twelve billion, eleven thousand, two hundred one".

Divisors: 1 19 101 361 673 1919 12787 36461 45317 67973 242953 861023 1291487 4577017 16359437 24538253 30498341 86963323 579468479 1652303137 3080332441 11009901101 58526316379 1112000011201