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130122340 = 225371011741
BaseRepresentation
bin1111100000110…
…00001001100100
3100001211220021221
413300120021210
5231302403330
620524550124
73140010265
oct760301144
9301756257
10130122340
11674a5927
12376b2344
1320c5c38a
14133d296c
15b654b7a
hex7c18264

130122340 has 48 divisors (see below), whose sum is σ = 283583664. Its totient is φ = 50112000.

The previous prime is 130122331. The next prime is 130122341. The reversal of 130122340 is 43221031.

It is a happy number.

130122340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 708964 + 129413376 = 842^2 + 11376^2 .

It is not an unprimeable number, because it can be changed into a prime (130122341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73870 + ... + 75610.

It is an arithmetic number, because the mean of its divisors is an integer number (5907993).

Almost surely, 2130122340 is an apocalyptic number.

130122340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130122340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141791832).

130122340 is an abundant number, since it is smaller than the sum of its proper divisors (153461324).

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

130122340 is a wasteful number, since it uses less digits than its factorization.

130122340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 130122340 is about 11407.1179532781. The cubic root of 130122340 is about 506.7385622430.

Adding to 130122340 its reverse (43221031), we get a palindrome (173343371).

The spelling of 130122340 in words is "one hundred thirty million, one hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 101 148 185 202 370 404 505 740 1010 1741 2020 3482 3737 6964 7474 8705 14948 17410 18685 34820 37370 64417 74740 128834 175841 257668 322085 351682 644170 703364 879205 1288340 1758410 3516820 6506117 13012234 26024468 32530585 65061170 130122340