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130202213220 = 223251574607297
BaseRepresentation
bin111100101000010101…
…0000001101101100100
3110110002000102202000100
41321100222001231210
54113123231310340
6135451501144100
712256350360162
oct1712052015544
9413060382010
10130202213220
11502448339a2
122129855b030
13c37ca55321
1464322a6232
1535c09a8830
hex1e50a81b64

130202213220 has 72 divisors (see below), whose sum is σ = 397462383864. Its totient is φ = 34499432448.

The previous prime is 130202213213. The next prime is 130202213227. The reversal of 130202213220 is 22312202031.

130202213220 is a `hidden beast` number, since 1 + 30 + 202 + 213 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (130202213213) and next prime (130202213227).

It can be written as a sum of positive squares in 4 ways, for example, as 2118392676 + 128083820544 = 46026^2 + 357888^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130202213193 and 130202213202.

It is not an unprimeable number, because it can be changed into a prime (130202213227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2275389 + ... + 2331908.

It is an arithmetic number, because the mean of its divisors is an integer number (5520310887).

Almost surely, 2130202213220 is an apocalyptic number.

130202213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130202213220 is an abundant number, since it is smaller than the sum of its proper divisors (267260170644).

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

130202213220 is a wasteful number, since it uses less digits than its factorization.

130202213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4607469 (or 4607464 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 130202213220 its reverse (22312202031), we get a palindrome (152514415251).

The spelling of 130202213220 in words is "one hundred thirty billion, two hundred two million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 2355 2826 3140 4710 5652 7065 9420 14130 28260 4607297 9214594 13821891 18429188 23036485 27643782 41465673 46072970 55287564 69109455 82931346 92145940 138218910 165862692 207328365 276437820 414656730 723345629 829313460 1446691258 2170036887 2893382516 3616728145 4340073774 6510110661 7233456290 8680147548 10850184435 13020221322 14466912580 21700368870 26040442644 32550553305 43400737740 65101106610 130202213220