Search a number
-
+
122331003140 = 2256116550157
BaseRepresentation
bin111000111101101111…
…1101111100100000100
3102200202110100211200002
41301323133233210010
54001013214100030
6132110441540432
711560322240633
oct1617337574404
9380673324602
10122331003140
11479757312a5
121b8604a4718
13b6c70c5c78
145cc6b6551a
1532ae94d245
hex1c7b7ef904

122331003140 has 12 divisors (see below), whose sum is σ = 256895106636. Its totient is φ = 48932401248.

The previous prime is 122331003139. The next prime is 122331003143. The reversal of 122331003140 is 41300133221.

It can be written as a sum of positive squares in 2 ways, for example, as 51677110276 + 70653892864 = 227326^2 + 265808^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 6116550157 = 122331003140 / (1 + 2 + 2 + 3 + 3 + 1 + 0 + 0 + 3 + 1 + 4 + 0).

It is not an unprimeable number, because it can be changed into a prime (122331003143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3058275059 + ... + 3058275098.

It is an arithmetic number, because the mean of its divisors is an integer number (21407925553).

Almost surely, 2122331003140 is an apocalyptic number.

122331003140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122331003140 is an abundant number, since it is smaller than the sum of its proper divisors (134564103496).

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

122331003140 is a wasteful number, since it uses less digits than its factorization.

122331003140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6116550166 (or 6116550164 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 122331003140 its reverse (41300133221), we get a palindrome (163631136361).

The spelling of 122331003140 in words is "one hundred twenty-two billion, three hundred thirty-one million, three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 6116550157 12233100314 24466200628 30582750785 61165501570 122331003140