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211303302202013 = 724312312289837
BaseRepresentation
bin110000000010110111100010…
…010001001000001010011101
31000201011101202102220000012012
4300002313202101020022131
5210143443130330431023
62025223221423521005
762336105544626600
oct6002674221101235
91021141672800165
10211303302202013
116136725547782a
121b847bb4459165
1390b9a7b6b5208
143a271c4acc337
15196673cc92978
hexc02de244829d

211303302202013 has 6 divisors (see below), whose sum is σ = 245801800520766. Its totient is φ = 181117116173112.

The previous prime is 211303302201983. The next prime is 211303302202093. The reversal of 211303302202013 is 310202203303112.

It can be written as a sum of positive squares in only one way, i.e., 138282124272964 + 73021177929049 = 11759342^2 + 8545243^2 .

It is not a de Polignac number, because 211303302202013 - 224 = 211303285424797 is a prime.

It is a super-2 number, since 2×2113033022020132 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211303302202013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211303302202093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2156156144870 + ... + 2156156144967.

It is an arithmetic number, because the mean of its divisors is an integer number (40966966753461).

Almost surely, 2211303302202013 is an apocalyptic number.

It is an amenable number.

211303302202013 is a deficient number, since it is larger than the sum of its proper divisors (34498498318753).

211303302202013 is an equidigital number, since it uses as much as digits as its factorization.

211303302202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312312289851 (or 4312312289844 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 211303302202013 its reverse (310202203303112), we get a palindrome (521505505505125).

The spelling of 211303302202013 in words is "two hundred eleven trillion, three hundred three billion, three hundred two million, two hundred two thousand, thirteen".

Divisors: 1 7 49 4312312289837 30186186028859 211303302202013