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1131032011201 = 12498093111893
BaseRepresentation
bin10000011101010110110…
…000101110000111000001
311000010101120021021022221
4100131112300232013001
5122012323143324301
62223331113131041
7144500012320261
oct20352660560701
94003346237287
101131032011201
113a67390a2344
121632503b9a81
138286ac07a91
143ca569d37a1
151e649ed0da1
hex10756c2e1c1

1131032011201 has 8 divisors (see below), whose sum is σ = 1132087545000. Its totient is φ = 1129976719872.

The previous prime is 1131032011199. The next prime is 1131032011253. The reversal of 1131032011201 is 1021102301311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 131583935025 + 999448076176 = 362745^2 + 999724^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1131032011201 - 21 = 1131032011199 is a prime.

It is a super-3 number, since 3×11310320112013 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1131032018201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10052211 + ... + 10164103.

It is an arithmetic number, because the mean of its divisors is an integer number (141510943125).

Almost surely, 21131032011201 is an apocalyptic number.

It is an amenable number.

1131032011201 is a deficient number, since it is larger than the sum of its proper divisors (1055533799).

1131032011201 is a wasteful number, since it uses less digits than its factorization.

1131032011201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121235.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1131032011201 its reverse (1021102301311), we get a palindrome (2152134312512).

The spelling of 1131032011201 in words is "one trillion, one hundred thirty-one billion, thirty-two million, eleven thousand, two hundred one".

Divisors: 1 1249 8093 111893 10108157 139754357 905550049 1131032011201