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130231220 = 22572177817
BaseRepresentation
bin1111100001100…
…10101110110100
3100002001102122112
413300302232310
5231314344340
620531150152
73140642600
oct760625664
9302042575
10130231220
116756a709
1237745358
1320c99ac2
1413420500
15b677065
hex7c32bb4

130231220 has 72 divisors (see below), whose sum is σ = 336893256. Its totient is φ = 42018816.

The previous prime is 130231181. The next prime is 130231259. The reversal of 130231220 is 22132031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130231181) and next prime (130231259).

It can be written as a sum of positive squares in 4 ways, for example, as 1317904 + 128913316 = 1148^2 + 11354^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 130231195 and 130231204.

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, 12752 + ... + 20568.

It is an arithmetic number, because the mean of its divisors is an integer number (4679073).

Almost surely, 2130231220 is an apocalyptic number.

130231220 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 130231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168446628).

130231220 is an abundant number, since it is smaller than the sum of its proper divisors (206662036).

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

130231220 is a wasteful number, since it uses less digits than its factorization.

130231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7857 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 130231220 is about 11411.8894141154. The cubic root of 130231220 is about 506.8798608417.

Adding to 130231220 its reverse (22132031), we get a palindrome (152363251).

The spelling of 130231220 in words is "one hundred thirty million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 7817 8330 15634 16660 31268 39085 54719 78170 109438 132889 156340 218876 265778 273595 383033 531556 547190 664445 766066 930223 1094380 1328890 1532132 1860446 1915165 2657780 3720892 3830330 4651115 6511561 7660660 9302230 13023122 18604460 26046244 32557805 65115610 130231220