Search a number
-
+
1313122122 = 2321310195507
BaseRepresentation
bin100111001000100…
…1010011101001010
310101111212111220200
41032101022131022
510142124401442
6334144433030
744353232244
oct11621123512
93344774820
101313122122
116142500a4
12307918776
1317c080950
14c6579094
157a43334c
hex4e44a74a

1313122122 has 48 divisors (see below), whose sum is σ = 3067515360. Its totient is φ = 403567776.

The previous prime is 1313122093. The next prime is 1313122127. The reversal of 1313122122 is 2212213131.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1313122095 and 1313122104.

It is not an unprimeable number, because it can be changed into a prime (1313122127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235693 + ... + 241199.

It is an arithmetic number, because the mean of its divisors is an integer number (63906570).

Almost surely, 21313122122 is an apocalyptic number.

1313122122 is an abundant number, since it is smaller than the sum of its proper divisors (1754393238).

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

1313122122 is a wasteful number, since it uses less digits than its factorization.

1313122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6547 (or 6544 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1313122122 is about 36237.0269475850. The cubic root of 1313122122 is about 1095.0527478187.

Adding to 1313122122 its reverse (2212213131), we get a palindrome (3525335253).

It can be divided in two parts, 13131 and 22122, that added together give a palindrome (35253).

The spelling of 1313122122 in words is "one billion, three hundred thirteen million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 1019 2038 3057 5507 6114 9171 11014 13247 16521 18342 26494 33042 39741 49563 71591 79482 99126 119223 143182 214773 238446 429546 644319 1288638 5611633 11223266 16834899 33669798 50504697 72951229 101009394 145902458 218853687 437707374 656561061 1313122122