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130114301000201 = 747472383735803
BaseRepresentation
bin11101100101011010011000…
…101100001111101000001001
3122001200210202100111201020122
4131211122120230033220021
5114023243042024001301
61140421403521033025
736256306450162220
oct3545323054175011
9561623670451218
10130114301000201
113850518a929461
1212715034185775
13577a958b6190b
14241b7cc689cb7
15100988907181b
hex765698b0fa09

130114301000201 has 16 divisors (see below), whose sum is σ = 151898088228864. Its totient is φ = 109130526144144.

The previous prime is 130114301000197. The next prime is 130114301000261. The reversal of 130114301000201 is 102000103411031.

It is a cyclic number.

It is not a de Polignac number, because 130114301000201 - 22 = 130114301000197 is a prime.

It is a super-3 number, since 3×1301143010002013 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 130114301000201.

It is not an unprimeable number, because it can be changed into a prime (130114301000261) 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 15 ways as a sum of consecutive naturals, for example, 40314035 + ... + 43421768.

It is an arithmetic number, because the mean of its divisors is an integer number (9493630514304).

Almost surely, 2130114301000201 is an apocalyptic number.

It is an amenable number.

130114301000201 is a deficient number, since it is larger than the sum of its proper divisors (21783787228663).

130114301000201 is an equidigital number, since it uses as much as digits as its factorization.

130114301000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83740580.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 130114301000201 its reverse (102000103411031), we get a palindrome (232114404411232).

The spelling of 130114301000201 in words is "one hundred thirty trillion, one hundred fourteen billion, three hundred one million, two hundred one", and thus it is an aban number.

Divisors: 1 7 47 329 4723 33061 221981 1553867 83735803 586150621 3935582741 27549079187 395484197569 2768389382983 18587757285743 130114301000201