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13202012601 = 3210957133877
BaseRepresentation
bin11000100101110011…
…01011100110111001
31021002001220201122200
430102321223212321
5204014203400401
610022004540413
7645105153441
oct142271534671
937061821580
1013202012601
115665212518
1226853b1709
1313251b209b
148d3513121
15524057686
hex312e6b9b9

13202012601 has 12 divisors (see below), whose sum is σ = 19071456612. Its totient is φ = 8800472736.

The previous prime is 13202012599. The next prime is 13202012647. The reversal of 13202012601 is 10621020231.

13202012601 is a `hidden beast` number, since 1 + 32 + 0 + 20 + 12 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8212709376 + 4989303225 = 90624^2 + 70635^2 .

It is not a de Polignac number, because 13202012601 - 21 = 13202012599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13202012651) 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, 31675 + ... + 165551.

It is an arithmetic number, because the mean of its divisors is an integer number (1589288051).

Almost surely, 213202012601 is an apocalyptic number.

It is an amenable number.

13202012601 is a deficient number, since it is larger than the sum of its proper divisors (5869444011).

13202012601 is a wasteful number, since it uses less digits than its factorization.

13202012601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144840 (or 144837 counting only the distinct ones).

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

Adding to 13202012601 its reverse (10621020231), we get a palindrome (23823032832).

It can be divided in two parts, 1320201 and 2601, that multiplied together give a square (3433842801 = 585992).

The spelling of 13202012601 in words is "thirteen billion, two hundred two million, twelve thousand, six hundred one".

Divisors: 1 3 9 10957 32871 98613 133877 401631 1204893 1466890289 4400670867 13202012601