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201013131300303 = 3724729094388667
BaseRepresentation
bin101101101101001000000100…
…010010010100110111001111
3222100201200000201220122200010
4231231020010102110313033
5202321344343103102203
61551304054021204303
760224501532266100
oct5555100422246717
9870650021818603
10201013131300303
115905a210243543
121a665836b60693
1388215c2bab9aa
14378d1320143a7
151838c2d541303
hexb6d204494dcf

201013131300303 has 24 divisors (see below), whose sum is σ = 318408989582592. Its totient is φ = 112420717805424.

The previous prime is 201013131300299. The next prime is 201013131300313. The reversal of 201013131300303 is 303003131310102.

It is not a de Polignac number, because 201013131300303 - 22 = 201013131300299 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 201013131300303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201013131300313) 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 23 ways as a sum of consecutive naturals, for example, 14547187425 + ... + 14547201242.

It is an arithmetic number, because the mean of its divisors is an integer number (13267041232608).

Almost surely, 2201013131300303 is an apocalyptic number.

201013131300303 is a deficient number, since it is larger than the sum of its proper divisors (117395858282289).

201013131300303 is a wasteful number, since it uses less digits than its factorization.

201013131300303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29094388731 (or 29094388724 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 201013131300303 its reverse (303003131310102), we get a palindrome (504016262610405).

The spelling of 201013131300303 in words is "two hundred one trillion, thirteen billion, one hundred thirty-one million, three hundred thousand, three hundred three".

Divisors: 1 3 7 21 47 49 141 147 329 987 2303 6909 29094388667 87283166001 203660720669 610982162007 1367436267349 1425625044683 4102308802047 4276875134049 9572053871443 28716161614329 67004377100101 201013131300303