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1121022221313 = 313911251238939
BaseRepresentation
bin10000010100000010001…
…000011001110000000001
310222011112222002021000010
4100110002020121300001
5121331323142040223
62214553540415133
7143663655442341
oct20240210316001
93864488067003
101121022221313
113a2471901015
121613180a74a9
13819341a0597
143c387442d21
151e26133c393
hex10502219c01

1121022221313 has 16 divisors (see below), whose sum is σ = 1505589612800. Its totient is φ = 741902490000.

The previous prime is 1121022221273. The next prime is 1121022221323. The reversal of 1121022221313 is 3131222201211.

It is not a de Polignac number, because 1121022221313 - 220 = 1121021172737 is a prime.

It is a super-3 number, since 3×11210222213133 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1121022221313.

It is not an unprimeable number, because it can be changed into a prime (1121022221323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4572198 + ... + 4811136.

It is an arithmetic number, because the mean of its divisors is an integer number (94099350800).

Almost surely, 21121022221313 is an apocalyptic number.

It is an amenable number.

1121022221313 is a deficient number, since it is larger than the sum of its proper divisors (384567391487).

1121022221313 is a wasteful number, since it uses less digits than its factorization.

1121022221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250332.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1121022221313 its reverse (3131222201211), we get a palindrome (4252244422524).

The spelling of 1121022221313 in words is "one trillion, one hundred twenty-one billion, twenty-two million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 139 417 11251 33753 238939 716817 1563889 4691667 33212521 99637563 2688302689 8064908067 373674073771 1121022221313