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301211402013 = 32163181205097
BaseRepresentation
bin1000110001000011001…
…10010011111100011101
31001210110221101121220100
410120201212103330131
514413340104331023
6350212525411313
730522204446544
oct4304146237435
91053427347810
10301211402013
11106819a90595
124a463109b39
1322533ab5b32
1410815d9d15b
157c7dbecc43
hex4621993f1d

301211402013 has 12 divisors (see below), whose sum is σ = 435087923868. Its totient is φ = 200805391680.

The previous prime is 301211401979. The next prime is 301211402033. The reversal of 301211402013 is 310204112103.

301211402013 is a `hidden beast` number, since 301 + 21 + 140 + 201 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61403353209 + 239808048804 = 247797^2 + 489702^2 .

It is not a de Polignac number, because 301211402013 - 218 = 301211139869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (301211402033) 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 11 ways as a sum of consecutive naturals, for example, 1366081 + ... + 1571177.

It is an arithmetic number, because the mean of its divisors is an integer number (36257326989).

Almost surely, 2301211402013 is an apocalyptic number.

It is an amenable number.

301211402013 is a deficient number, since it is larger than the sum of its proper divisors (133876521855).

301211402013 is a wasteful number, since it uses less digits than its factorization.

301211402013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368284 (or 368281 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 301211402013 its reverse (310204112103), we get a palindrome (611415514116).

The spelling of 301211402013 in words is "three hundred one billion, two hundred eleven million, four hundred two thousand, thirteen".

Divisors: 1 3 9 163181 205097 489543 615291 1468629 1845873 33467933557 100403800671 301211402013