Search a number
-
+
130221220020 = 223520873103979
BaseRepresentation
bin111100101000111001…
…0100010000010110100
3110110010100012101102220
41321101302202002310
54113143113020040
6135453420402340
712260001051453
oct1712162420264
9413110171386
10130221220020
1150254535aa1
12212a29a63b0
13c38397b658
146434a12b9a
1535c24b02d0
hex1e51ca20b4

130221220020 has 48 divisors (see below), whose sum is σ = 364640391360. Its totient is φ = 34723661056.

The previous prime is 130221220007. The next prime is 130221220049. The reversal of 130221220020 is 20022122031.

It is a happy number.

It is a super-2 number, since 2×1302212200202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1200391 + ... + 1304369.

It is an arithmetic number, because the mean of its divisors is an integer number (7596674820).

Almost surely, 2130221220020 is an apocalyptic number.

130221220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130221220020 is an abundant number, since it is smaller than the sum of its proper divisors (234419171340).

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

130221220020 is a wasteful number, since it uses less digits than its factorization.

130221220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124864 (or 124862 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 130221220020 its reverse (20022122031), we get a palindrome (150243342051).

The spelling of 130221220020 in words is "one hundred thirty billion, two hundred twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 20873 41746 62619 83492 103979 104365 125238 207958 208730 250476 311937 313095 415916 417460 519895 623874 626190 1039790 1247748 1252380 1559685 2079580 3119370 6238740 2170353667 4340707334 6511061001 8681414668 10851768335 13022122002 21703536670 26044244004 32555305005 43407073340 65110610010 130221220020