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13213001310106 = 2132000412540441
BaseRepresentation
bin1100000001000110010000…
…1111111101111110011010
31201210011001210001012100211
43000101210033331332122
53212440211313410411
644033545145521334
72532415330020523
oct300214417757632
951704053035324
1013213001310106
114234669860684
1215949274a324a
1374ac997176a0
14339726ad384a
1517da7921b221
hexc04643fdf9a

13213001310106 has 16 divisors (see below), whose sum is σ = 21344194139688. Its totient is φ = 6098275411200.

The previous prime is 13213001310101. The next prime is 13213001310107. The reversal of 13213001310106 is 60101310031231.

It can be written as a sum of positive squares in 4 ways, for example, as 10957324734225 + 2255676575881 = 3310185^2 + 1501891^2 .

It is not an unprimeable number, because it can be changed into a prime (13213001310101) 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 7 ways as a sum of consecutive naturals, for example, 3930846 + ... + 6471286.

Almost surely, 213213001310106 is an apocalyptic number.

13213001310106 is a deficient number, since it is larger than the sum of its proper divisors (8131192829582).

13213001310106 is a wasteful number, since it uses less digits than its factorization.

13213001310106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740497.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 13213001310106 its reverse (60101310031231), we get a palindrome (73314311341337).

The spelling of 13213001310106 in words is "thirteen trillion, two hundred thirteen billion, one million, three hundred ten thousand, one hundred six".

Divisors: 1 2 13 26 200041 400082 2540441 2600533 5080882 5201066 33025733 66051466 508192358081 1016384716162 6606500655053 13213001310106