Search a number
-
+
130200312312 = 233272311231911
BaseRepresentation
bin111100101000010001…
…0110001100111111000
3110110001212212011110100
41321100202301213320
54113122234443222
6135451352315400
712256325252160
oct1712042614770
9413055764410
10130200312312
11502437557a4
12212979a2b60
13c37c53b025
146431d2d5a0
1535c07304ac
hex1e508b19f8

130200312312 has 96 divisors (see below), whose sum is σ = 420522785280. Its totient is φ = 35582690880.

The previous prime is 130200312311. The next prime is 130200312337. The reversal of 130200312312 is 213213002031.

It is a super-2 number, since 2×1302003123122 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130200312311) 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, 5604364 + ... + 5627547.

It is an arithmetic number, because the mean of its divisors is an integer number (4380445680).

Almost surely, 2130200312312 is an apocalyptic number.

130200312312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130200312312 is an abundant number, since it is smaller than the sum of its proper divisors (290322472968).

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

130200312312 is a wasteful number, since it uses less digits than its factorization.

130200312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11231953 (or 11231946 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130200312312 its reverse (213213002031), we get a palindrome (343413314343).

The spelling of 130200312312 in words is "one hundred thirty billion, two hundred million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 56 63 69 72 84 92 126 138 161 168 184 207 252 276 322 414 483 504 552 644 828 966 1288 1449 1656 1932 2898 3864 5796 11592 11231911 22463822 33695733 44927644 67391466 78623377 89855288 101087199 134782932 157246754 202174398 235870131 258333953 269565864 314493508 404348796 471740262 516667906 628987016 707610393 775001859 808697592 943480524 1033335812 1415220786 1550003718 1808337671 1886961048 2066671624 2325005577 2830441572 3100007436 3616675342 4650011154 5425013013 5660883144 6200014872 7233350684 9300022308 10850026026 14466701368 16275039039 18600044616 21700052052 32550078078 43400104104 65100156156 130200312312