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201211313013 = 32172541142993
BaseRepresentation
bin1011101101100100100…
…0001111101101110101
3201020100202120202120100
42323121020033231311
511244040044004023
6232234000424313
720352126640554
oct2733110175565
9636322522510
10201211313013
11783735a4637
1232bb5318099
1315c88274a39
149a4ad17d9b
155379996c43
hex2ed920fb75

201211313013 has 36 divisors (see below), whose sum is σ = 309313467268. Its totient is φ = 126015989760.

The previous prime is 201211313003. The next prime is 201211313131. The reversal of 201211313013 is 310313112102.

It can be written as a sum of positive squares in 6 ways, for example, as 31131779364 + 170079533649 = 176442^2 + 412407^2 .

It is not a de Polignac number, because 201211313013 - 218 = 201211050869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211313003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1335645 + ... + 1478637.

Almost surely, 2201211313013 is an apocalyptic number.

It is an amenable number.

201211313013 is a deficient number, since it is larger than the sum of its proper divisors (108102154255).

201211313013 is a wasteful number, since it uses less digits than its factorization.

201211313013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143574 (or 143554 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 201211313013 its reverse (310313112102), we get a palindrome (511524425115).

The spelling of 201211313013 in words is "two hundred one billion, two hundred eleven million, three hundred thirteen thousand, thirteen".

Divisors: 1 3 9 17 51 153 289 541 867 1623 2601 4869 9197 27591 82773 142993 156349 428979 469047 1286937 1407141 2430881 7292643 21877929 41324977 77359213 123974931 232077639 371924793 696232917 1315106621 3945319863 11835959589 22356812557 67070437671 201211313013