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130021020 = 223251037013
BaseRepresentation
bin1111011111111…
…11011010011100
3100001122202022100
413233333122130
5231241133040
620522445100
73136106013
oct757773234
9301582270
10130021020
1167436798
1237663790
1320c2521c
14133a7a7a
15b634b30
hex7bff69c

130021020 has 72 divisors (see below), whose sum is σ = 398282976. Its totient is φ = 34330752.

The previous prime is 130020983. The next prime is 130021033. The reversal of 130021020 is 20120031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 130020993 and 130021011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15034 + ... + 22046.

It is an arithmetic number, because the mean of its divisors is an integer number (5531708).

Almost surely, 2130021020 is an apocalyptic number.

130021020 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 130021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199141488).

130021020 is an abundant number, since it is smaller than the sum of its proper divisors (268261956).

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

130021020 is a wasteful number, since it uses less digits than its factorization.

130021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7131 (or 7126 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 130021020 is about 11402.6760017112. The cubic root of 130021020 is about 506.6070037857.

Adding to 130021020 its reverse (20120031), we get a palindrome (150141051).

The spelling of 130021020 in words is "one hundred thirty million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 7013 9270 14026 18540 21039 28052 35065 42078 63117 70130 84156 105195 126234 140260 210390 252468 315585 420780 631170 722339 1262340 1444678 2167017 2889356 3611695 4334034 6501051 7223390 8668068 10835085 13002102 14446780 21670170 26004204 32505255 43340340 65010510 130021020