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13101202033 = 417311338737
BaseRepresentation
bin11000011001110010…
…00111101001110001
31020211001020000112221
430030321013221301
5203312401431113
610004004121041
7642442244203
oct141471075161
936731200487
1013101202033
115613317aa7
122657696181
13130a34666a
148c3d90773
1551a29298d
hex30ce47a71

13101202033 has 16 divisors (see below), whose sum is σ = 13725338256. Its totient is φ = 12494684160.

The previous prime is 13101202003. The next prime is 13101202061. The reversal of 13101202033 is 33020210131.

13101202033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 6896804209 + 6204397824 = 83047^2 + 78768^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101202033 - 25 = 13101202001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13101201998 and 13101202016.

It is not an unprimeable number, because it can be changed into a prime (13101202003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 318841 + ... + 357577.

It is an arithmetic number, because the mean of its divisors is an integer number (857833641).

Almost surely, 213101202033 is an apocalyptic number.

It is an amenable number.

13101202033 is a deficient number, since it is larger than the sum of its proper divisors (624136223).

13101202033 is a wasteful number, since it uses less digits than its factorization.

13101202033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38964.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13101202033 its reverse (33020210131), we get a palindrome (46121412164).

The spelling of 13101202033 in words is "thirteen billion, one hundred one million, two hundred two thousand, thirty-three".

Divisors: 1 41 73 113 2993 4633 8249 38737 338209 1588217 2827801 4377281 115939841 179468521 319541513 13101202033