Search a number
-
+
1311110221122 = 232135603035133
BaseRepresentation
bin10011000101000100010…
…000100100110101000010
311122100012112012011102100
4103011010100210311002
5132440123204033442
62442152110131230
7163503350666532
oct23050420446502
94570175164370
101311110221122
114660475a2819
121921281b0b16
1396838b03990
144765ad4b4c2
15241894d784c
hex13144424d42

1311110221122 has 24 divisors (see below), whose sum is σ = 3059257183164. Its totient is φ = 403418529504.

The previous prime is 1311110221121. The next prime is 1311110221139. The reversal of 1311110221122 is 2211220111131.

It is a happy number.

1311110221122 is a `hidden beast` number, since 1 + 311 + 1 + 10 + 221 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1230681828321 + 80428392801 = 1109361^2 + 283599^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1311110221095 and 1311110221104.

It is not an unprimeable number, because it can be changed into a prime (1311110221121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2801517333 + ... + 2801517800.

Almost surely, 21311110221122 is an apocalyptic number.

1311110221122 is an abundant number, since it is smaller than the sum of its proper divisors (1748146962042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311110221122 is a wasteful number, since it uses less digits than its factorization.

1311110221122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5603035154 (or 5603035151 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 1311110221122 its reverse (2211220111131), we get a palindrome (3522330332253).

The spelling of 1311110221122 in words is "one trillion, three hundred eleven billion, one hundred ten million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 5603035133 11206070266 16809105399 33618210798 50427316197 72839456729 100854632394 145678913458 218518370187 437036740374 655555110561 1311110221122