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1113110311122 = 23267391886273
BaseRepresentation
bin10000001100101010100…
…010110111000011010010
310221102010120102120121100
4100030222202313003102
5121214122214423442
62211204505005230
7143263624350645
oct20145242670322
93842116376540
101113110311122
1139a08182a867
1215b88a483816
1380c72c90b14
143bc36749a5c
151de4b94284c
hex1032a8b70d2

1113110311122 has 24 divisors (see below), whose sum is σ = 2415322598364. Its totient is φ = 370485448704.

The previous prime is 1113110311097. The next prime is 1113110311147. The reversal of 1113110311122 is 2211130113111.

It is an interprime number because it is at equal distance from previous prime (1113110311097) and next prime (1113110311147).

It can be written as a sum of positive squares in 2 ways, for example, as 1112204361321 + 905949801 = 1054611^2 + 30099^2 .

It is a super-2 number, since 2×11131103111222 (a number of 25 digits) contains 22 as substring.

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 = 1113110311095 and 1113110311104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45931023 + ... + 45955250.

Almost surely, 21113110311122 is an apocalyptic number.

1113110311122 is an abundant number, since it is smaller than the sum of its proper divisors (1302212287242).

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

1113110311122 is a wasteful number, since it uses less digits than its factorization.

1113110311122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91886954 (or 91886951 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1113110311122 its reverse (2211130113111), we get a palindrome (3324240424233).

The spelling of 1113110311122 in words is "one trillion, one hundred thirteen billion, one hundred ten million, three hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 673 1346 2019 4038 6057 12114 91886273 183772546 275658819 551317638 826976457 1653952914 61839461729 123678923458 185518385187 371036770374 556555155561 1113110311122