Search a number
-
+
130244112301131 = 334823856011153
BaseRepresentation
bin11101100111010011010010…
…000011000011110001001011
3122002011012211010101001102000
4131213103102003003301023
5114032404420222114011
61141001152535442043
736301553343060423
oct3547232203036113
9562135733331360
10130244112301131
1138555243a34144
1212736221826323
135789c75907b9a
142423bc4a75483
15100ce3555e356
hex7674d20c3c4b

130244112301131 has 8 divisors (see below), whose sum is σ = 192954240446160. Its totient is φ = 86829408200736.

The previous prime is 130244112301097. The next prime is 130244112301139. The reversal of 130244112301131 is 131103211442031.

130244112301131 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 4 + 411 + 230 + 1 + 13 + 1 = 666.

It is not a de Polignac number, because 130244112301131 - 213 = 130244112292939 is a prime.

It is a super-2 number, since 2×1302441123011312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4823856011153 = 130244112301131 / (1 + 3 + 0 + 2 + 4 + 4 + 1 + 1 + 2 + 3 + 0 + 1 + 1 + 3 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 130244112301095 and 130244112301104.

It is not an unprimeable number, because it can be changed into a prime (130244112301139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2411928005550 + ... + 2411928005603.

It is an arithmetic number, because the mean of its divisors is an integer number (24119280055770).

Almost surely, 2130244112301131 is an apocalyptic number.

130244112301131 is a deficient number, since it is larger than the sum of its proper divisors (62710128145029).

130244112301131 is an equidigital number, since it uses as much as digits as its factorization.

130244112301131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823856011162 (or 4823856011156 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 130244112301131 its reverse (131103211442031), we get a palindrome (261347323743162).

The spelling of 130244112301131 in words is "one hundred thirty trillion, two hundred forty-four billion, one hundred twelve million, three hundred one thousand, one hundred thirty-one".

Divisors: 1 3 9 27 4823856011153 14471568033459 43414704100377 130244112301131