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130224220420 = 225717353155003
BaseRepresentation
bin111100101000111110…
…1111110100100000100
3110110010112211211012211
41321101331332210010
54113144400023140
6135454004553204
712260035416130
oct1712175764404
9413115754184
10130224220420
11502561a5268
12212a39b2804
13c38448c238
1464351943c0
1535c28a42ea
hex1e51f7e904

130224220420 has 96 divisors (see below), whose sum is σ = 331862323968. Its totient is φ = 41902620672.

The previous prime is 130224220409. The next prime is 130224220447. The reversal of 130224220420 is 24022422031.

It is a junction number, because it is equal to n+sod(n) for n = 130224220391 and 130224220400.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 762639 + ... + 917641.

It is an arithmetic number, because the mean of its divisors is an integer number (3456899208).

Almost surely, 2130224220420 is an apocalyptic number.

130224220420 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 130224220420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165931161984).

130224220420 is an abundant number, since it is smaller than the sum of its proper divisors (201638103548).

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

130224220420 is a wasteful number, since it uses less digits than its factorization.

130224220420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155389 (or 155387 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 130224220420 its reverse (24022422031), we get a palindrome (154246642451).

The spelling of 130224220420 in words is "one hundred thirty billion, two hundred twenty-four million, two hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 353 476 595 706 1190 1412 1765 2380 2471 3530 4942 6001 7060 9884 12002 12355 24004 24710 30005 42007 49420 60010 84014 120020 155003 168028 210035 310006 420070 620012 775015 840140 1085021 1550030 2170042 2635051 3100060 4340084 5270102 5425105 10540204 10850210 13175255 18445357 21700420 26350510 36890714 52701020 54716059 73781428 92226785 109432118 184453570 218864236 273580295 368907140 383012413 547160590 766024826 930173003 1094321180 1532049652 1860346006 1915062065 3720692012 3830124130 4650865015 6511211021 7660248260 9301730030 13022422042 18603460060 26044844084 32556055105 65112110210 130224220420