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1201112111021 = 113103310289749
BaseRepresentation
bin10001011110100111110…
…111000101011110101101
311020211021120100012111112
4101132213313011132231
5124134334200023041
62315441105001405
7152530451330144
oct21364767053655
94224246305445
101201112111021
11423430523609
1217494a023265
1389358b19074
14421c40da75b
152139c664deb
hex117a7dc57ad

1201112111021 has 8 divisors (see below), whose sum is σ = 1212914571000. Its totient is φ = 1189330232832.

The previous prime is 1201112110997. The next prime is 1201112111027.

1201112111021 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 542115601225 + 658996509796 = 736285^2 + 811786^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1201112111021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1201112110987 and 1201112111005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201112111027) 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, 5028146 + ... + 5261603.

It is an arithmetic number, because the mean of its divisors is an integer number (151614321375).

Almost surely, 21201112111021 is an apocalyptic number.

It is an amenable number.

1201112111021 is a deficient number, since it is larger than the sum of its proper divisors (11802459979).

1201112111021 is a wasteful number, since it uses less digits than its factorization.

1201112111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10290895.

The product of its (nonzero) digits is 8, while the sum is 14.

The spelling of 1201112111021 in words is "one trillion, two hundred one billion, one hundred twelve million, one hundred eleven thousand, twenty-one".

Divisors: 1 113 1033 116729 10289749 1162741637 10629310717 1201112111021