Search a number
-
+
131200130131230 = 2356171694060181
BaseRepresentation
bin11101110101001101101001…
…001001101010010100011110
3122012112121110122120202020110
4131311031221021222110132
5114144040331303144410
61143012301355430450
736430616350413036
oct3565155111522436
9565477418522213
10131200130131230
1138893732095896
121286b56a155426
135829171b03304
142458197abc8c6
151027c3a8db720
hex77536926a51e

131200130131230 has 32 divisors (see below), whose sum is σ = 320042284652448. Its totient is φ = 34413148886400.

The previous prime is 131200130131201. The next prime is 131200130131237. The reversal of 131200130131230 is 32131031002131.

It is a happy number.

It is a super-2 number, since 2×1312001301312302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131200130131197 and 131200130131206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131200130131237) 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, 35847028261 + ... + 35847031920.

It is an arithmetic number, because the mean of its divisors is an integer number (10001321395389).

Almost surely, 2131200130131230 is an apocalyptic number.

131200130131230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131200130131230 is an abundant number, since it is smaller than the sum of its proper divisors (188842154521218).

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

131200130131230 is a wasteful number, since it uses less digits than its factorization.

131200130131230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71694060252.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 131200130131230 its reverse (32131031002131), we get a palindrome (163331161133361).

The spelling of 131200130131230 in words is "one hundred thirty-one trillion, two hundred billion, one hundred thirty million, one hundred thirty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1830 71694060181 143388120362 215082180543 358470300905 430164361086 716940601810 1075410902715 2150821805430 4373337671041 8746675342082 13120013013123 21866688355205 26240026026246 43733376710410 65600065065615 131200130131230