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120311113122 = 23237180647317
BaseRepresentation
bin111000000001100011…
…0011110010110100010
3102111112200120210110200
41300003012132112202
53432344121104442
6131134204410030
711456264405514
oct1600306362642
9374480523420
10120311113122
114702953a002
121b397b46916
13b4647a6585
145b747adbb4
1531e245c34c
hex1c0319e5a2

120311113122 has 24 divisors (see below), whose sum is σ = 267719325276. Its totient is φ = 39019820256.

The previous prime is 120311113061. The next prime is 120311113123. The reversal of 120311113122 is 221311113021.

120311113122 is a `hidden beast` number, since 120 + 311 + 113 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117874802241 + 2436310881 = 343329^2 + 49359^2 .

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 = 120311113095 and 120311113104.

It is not an unprimeable number, because it can be changed into a prime (120311113123) 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, 90322993 + ... + 90324324.

Almost surely, 2120311113122 is an apocalyptic number.

120311113122 is an abundant number, since it is smaller than the sum of its proper divisors (147408212154).

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

120311113122 is a wasteful number, since it uses less digits than its factorization.

120311113122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180647362 (or 180647359 counting only the distinct ones).

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

Adding to 120311113122 its reverse (221311113021), we get a palindrome (341622226143).

The spelling of 120311113122 in words is "one hundred twenty billion, three hundred eleven million, one hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 180647317 361294634 541941951 1083883902 1625825853 3251651706 6683950729 13367901458 20051852187 40103704374 60155556561 120311113122