Search a number
-
+
130221221000 = 23531310017017
BaseRepresentation
bin111100101000111001…
…0100010010010001000
3110110010100012102210012
41321101302202102020
54113143113033000
6135453420411052
712260001054353
oct1712162422210
9413110172705
10130221221000
1150254536802
12212a29a6a88
13c38397bc30
146434a1329a
1535c24b0735
hex1e51ca2488

130221221000 has 64 divisors (see below), whose sum is σ = 328157509680. Its totient is φ = 48081676800.

The previous prime is 130221220973. The next prime is 130221221003. The reversal of 130221221000 is 122122031.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1080173956 + 129141047044 = 32866^2 + 359362^2 .

It is not an unprimeable number, because it can be changed into a prime (130221221003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4995509 + ... + 5021508.

Almost surely, 2130221221000 is an apocalyptic number.

130221221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130221221000 is an abundant number, since it is smaller than the sum of its proper divisors (197936288680).

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

130221221000 is a wasteful number, since it uses less digits than its factorization.

130221221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10017051 (or 10017037 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 130221221000 its reverse (122122031), we get a palindrome (130343343031).

The spelling of 130221221000 in words is "one hundred thirty billion, two hundred twenty-one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 10017017 20034034 40068068 50085085 80136136 100170170 130221221 200340340 250425425 260442442 400680680 500850850 520884884 651106105 1001701700 1041769768 1252127125 1302212210 2003403400 2504254250 2604424420 3255530525 5008508500 5208848840 6511061050 10017017000 13022122100 16277652625 26044244200 32555305250 65110610500 130221221000