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20133213411311 = 7111320113100311
BaseRepresentation
bin1001001001111101000010…
…00010001001011111101111
32122021201100020222221220022
410210332201002021133233
510114330310113130221
6110453023123512355
74145401540234220
oct444764102113757
978251306887808
1020133213411311
1164624a210a6a0
122311b505286bb
13b30727b41580
144d864a403247
1524da9ed964ab
hex124fa10897ef

20133213411311 has 16 divisors (see below), whose sum is σ = 27032006819328. Its totient is φ = 14481432223200.

The previous prime is 20133213411307. The next prime is 20133213411331. The reversal of 20133213411311 is 11311431233102.

It is a cyclic number.

It is not a de Polignac number, because 20133213411311 - 22 = 20133213411307 is a prime.

It is a super-2 number, since 2×201332134113112 (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20133213411331) 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 15 ways as a sum of consecutive naturals, for example, 10056549155 + ... + 10056551156.

It is an arithmetic number, because the mean of its divisors is an integer number (1689500426208).

Almost surely, 220133213411311 is an apocalyptic number.

20133213411311 is a deficient number, since it is larger than the sum of its proper divisors (6898793408017).

20133213411311 is a wasteful number, since it uses less digits than its factorization.

20133213411311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20113100342.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 20133213411311 its reverse (11311431233102), we get a palindrome (31444644644413).

The spelling of 20133213411311 in words is "twenty trillion, one hundred thirty-three billion, two hundred thirteen million, four hundred eleven thousand, three hundred eleven".

Divisors: 1 7 11 13 77 91 143 1001 20113100311 140791702177 221244103421 261470304043 1548708723947 1830292128301 2876173344473 20133213411311