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130122020 = 22571098527
BaseRepresentation
bin1111100000110…
…00000100100100
3100001211212212002
413300120010210
5231302401040
620524544432
73140006330
oct760300444
9301755762
10130122020
11674a5666
12376b2118
1320c5c1a2
14133d27c0
15b654a15
hex7c18124

130122020 has 48 divisors (see below), whose sum is σ = 315194880. Its totient is φ = 44198784.

The previous prime is 130122019. The next prime is 130122059. The reversal of 130122020 is 20221031.

It is a happy number.

130122020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 130121992 and 130122010.

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, 10997 + ... + 19523.

It is an arithmetic number, because the mean of its divisors is an integer number (6566560).

Almost surely, 2130122020 is an apocalyptic number.

130122020 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 130122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157597440).

130122020 is an abundant number, since it is smaller than the sum of its proper divisors (185072860).

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

130122020 is a wasteful number, since it uses less digits than its factorization.

130122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8652 (or 8650 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 130122020 is about 11407.1039269396. The cubic root of 130122020 is about 506.7381468481.

Adding to 130122020 its reverse (20221031), we get a palindrome (150343051).

The spelling of 130122020 in words is "one hundred thirty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 1090 1526 2180 3052 3815 7630 8527 15260 17054 34108 42635 59689 85270 119378 170540 238756 298445 596890 929443 1193780 1858886 3717772 4647215 6506101 9294430 13012202 18588860 26024404 32530505 65061010 130122020