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31121113122 = 23211214288849
BaseRepresentation
bin11100111110111101…
…101000000000100010
32222022212212100110100
4130332331220000202
51002214001104442
622144041243230
72151132045141
oct347675500042
988285770410
1031121113122
1112220069a00
126046493516
132c1c728a48
1417132c1758
15c2228084c
hex73ef68022

31121113122 has 36 divisors (see below), whose sum is σ = 74116264950. Its totient is φ = 9430639680.

The previous prime is 31121113109. The next prime is 31121113147. The reversal of 31121113122 is 22131112113.

It can be written as a sum of positive squares in only one way, i.e., 30670867161 + 450245961 = 175131^2 + 21219^2 .

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 = 31121113095 and 31121113104.

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 17 ways as a sum of consecutive naturals, for example, 7142247 + ... + 7146602.

Almost surely, 231121113122 is an apocalyptic number.

31121113122 is an abundant number, since it is smaller than the sum of its proper divisors (42995151828).

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

31121113122 is a wasteful number, since it uses less digits than its factorization.

31121113122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14288879 (or 14288865 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 31121113122 its reverse (22131112113), we get a palindrome (53252225235).

The spelling of 31121113122 in words is "thirty-one billion, one hundred twenty-one million, one hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 14288849 28577698 42866547 85733094 128599641 157177339 257199282 314354678 471532017 943064034 1414596051 1728950729 2829192102 3457901458 5186852187 10373704374 15560556561 31121113122