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103330020313003 = 111912735711090151
BaseRepresentation
bin10111011111101001100101…
…001001111100011110101011
3111112212020211210000202001111
4113133221211021330132223
5102020424340200004003
61003433053410531151
730523230141602311
oct2737514511743653
9445766753022044
10103330020313003
112aa19019727690
12b70a072896ab7
134586c9612c563
141b732b1c620b1
15be2cb6eaee6d
hex5dfa6527c7ab

103330020313003 has 32 divisors (see below), whose sum is σ = 119624384839680. Its totient is φ = 88266829140000.

The previous prime is 103330020312997. The next prime is 103330020313007. The reversal of 103330020313003 is 300313020033301.

It is a cyclic number.

It is not a de Polignac number, because 103330020313003 - 25 = 103330020312971 is a prime.

It is a super-2 number, since 2×1033300203130032 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103330020313007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94239978 + ... + 95330128.

It is an arithmetic number, because the mean of its divisors is an integer number (3738262026240).

Almost surely, 2103330020313003 is an apocalyptic number.

103330020313003 is a deficient number, since it is larger than the sum of its proper divisors (16294364526677).

103330020313003 is a wasteful number, since it uses less digits than its factorization.

103330020313003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093879.

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 103330020313003 its reverse (300313020033301), we get a palindrome (403643040346304).

The spelling of 103330020313003 in words is "one hundred three trillion, three hundred thirty billion, twenty million, three hundred thirteen thousand, three".

Divisors: 1 11 19 127 209 1397 2413 3571 26543 39281 67849 453517 746339 1090151 4988687 8616823 11991661 20712869 94785053 138449177 227841559 1522940947 2630534363 3892929221 28935877993 42822221431 73965655199 494402011067 813622207189 5438422121737 9393638210273 103330020313003