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1013112020201 = 32211131727793
BaseRepresentation
bin11101011111000100010…
…11101001110011101001
310120212000112000001202212
432233202023221303221
5113044323134121301
62053230042334505
7133123601041121
oct16574213516351
93525015001685
101013112020201
11360727361826
121444211ba435
13746c792c288
143706ba11c81
151b5479444bb
hexebe22e9ce9

1013112020201 has 8 divisors (see below), whose sum is σ = 1013552569224. Its totient is φ = 1012671555840.

The previous prime is 1013112020197. The next prime is 1013112020203. The reversal of 1013112020201 is 1020202113101.

It can be written as a sum of positive squares in 4 ways, for example, as 260789976976 + 752322043225 = 510676^2 + 867365^2 .

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 1013112020201 - 22 = 1013112020197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1013112020203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36438161 + ... + 36465953.

It is an arithmetic number, because the mean of its divisors is an integer number (126694071153).

Almost surely, 21013112020201 is an apocalyptic number.

It is an amenable number.

1013112020201 is a deficient number, since it is larger than the sum of its proper divisors (440549023).

1013112020201 is a wasteful number, since it uses less digits than its factorization.

1013112020201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42331.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1013112020201 its reverse (1020202113101), we get a palindrome (2033314133302).

The spelling of 1013112020201 in words is "one trillion, thirteen billion, one hundred twelve million, twenty thousand, two hundred one".

Divisors: 1 3221 11317 27793 36452057 89521253 314533381 1013112020201