Search a number
-
+
131012224142220 = 223352273892747531
BaseRepresentation
bin11101110010011110101001…
…000101001100101110001100
3122011212122110011022110221000
4131302132221011030232030
5114133001013340022340
61142350103534140300
736411215022022221
oct3562365105145614
9564778404273830
10131012224142220
1138820a770570a3
121283b068951690
135814527273475
14244d04dccb948
151022dde0a7d30
hex7727a914cb8c

131012224142220 has 192 divisors, whose sum is σ = 410441716339200. Its totient is φ = 34693259132160.

The previous prime is 131012224142201. The next prime is 131012224142237. The reversal of 131012224142220 is 22241422210131.

131012224142220 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 1 + 2 + 22 + 414 + 2 + 220 = 666.

131012224142220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46309855 + ... + 49057385.

It is an arithmetic number, because the mean of its divisors is an integer number (2137717272600).

Almost surely, 2131012224142220 is an apocalyptic number.

131012224142220 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 131012224142220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205220858169600).

131012224142220 is an abundant number, since it is smaller than the sum of its proper divisors (279429492196980).

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

131012224142220 is a wasteful number, since it uses less digits than its factorization.

131012224142220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748165 (or 2748157 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 131012224142220 its reverse (22241422210131), we get a palindrome (153253646352351).

The spelling of 131012224142220 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-four million, one hundred forty-two thousand, two hundred twenty".