Search a number
-
+
2002310303201 = 132913738767649
BaseRepresentation
bin11101001000110010111…
…111101000110111100001
321002102022110002102011022
4131020302333220313201
5230301212414200301
64131503150455225
7264443054520635
oct35106277506741
97072273072138
102002310303201
117021a1a6987a
12284089804515
13116a810a60a0
146ccab640dc5
1537140c36d1b
hex1d232fe8de1

2002310303201 has 16 divisors (see below), whose sum is σ = 2246972994000. Its totient is φ = 1771526443008.

The previous prime is 2002310303179. The next prime is 2002310303249. The reversal of 2002310303201 is 1023030132002.

It can be written as a sum of positive squares in 8 ways, for example, as 2532504976 + 1999777798225 = 50324^2 + 1414135^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2002310303201 is a prime.

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 2002310303201.

It is not an unprimeable number, because it can be changed into a prime (2002310303281) 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, 19332176 + ... + 19435473.

It is an arithmetic number, because the mean of its divisors is an integer number (140435812125).

Almost surely, 22002310303201 is an apocalyptic number.

It is an amenable number.

2002310303201 is a deficient number, since it is larger than the sum of its proper divisors (244662690799).

2002310303201 is a wasteful number, since it uses less digits than its factorization.

2002310303201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38767828.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2002310303201 its reverse (1023030132002), we get a palindrome (3025340435203).

The spelling of 2002310303201 in words is "two trillion, two billion, three hundred ten million, three hundred three thousand, two hundred one".

Divisors: 1 13 29 137 377 1781 3973 51649 38767649 503979437 1124261821 5311167913 14615403673 69045182869 154023869477 2002310303201