Search a number
-
+
122433244340 = 225111015510047
BaseRepresentation
bin111001000000110010…
…1110000110010110100
3102201000120202020020012
41302001211300302310
54001220402304330
6132124533155352
711563003256141
oct1620145606264
9381016666205
10122433244340
1147a18413660
121b88a78bb58
13b712342914
145cd657b3c8
1532b88e6c95
hex1c81970cb4

122433244340 has 48 divisors (see below), whose sum is σ = 283260547584. Its totient is φ = 44080368000.

The previous prime is 122433244327. The next prime is 122433244361. The reversal of 122433244340 is 43442334221.

It is a junction number, because it is equal to n+sod(n) for n = 122433244297 and 122433244306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2732804 + ... + 2777243.

It is an arithmetic number, because the mean of its divisors is an integer number (5901261408).

Almost surely, 2122433244340 is an apocalyptic number.

122433244340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122433244340 is an abundant number, since it is smaller than the sum of its proper divisors (160827303244).

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

122433244340 is a wasteful number, since it uses less digits than its factorization.

122433244340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510168 (or 5510166 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 122433244340 its reverse (43442334221), we get a palindrome (165875578561).

The spelling of 122433244340 in words is "one hundred twenty-two billion, four hundred thirty-three million, two hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 202 220 404 505 1010 1111 2020 2222 4444 5555 11110 22220 5510047 11020094 22040188 27550235 55100470 60610517 110200940 121221034 242442068 303052585 556514747 606105170 1113029494 1212210340 2226058988 2782573735 5565147470 6121662217 11130294940 12243324434 24486648868 30608311085 61216622170 122433244340