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133131210311 = 11131622114851
BaseRepresentation
bin111101111111100111…
…1010000111001000111
3110201122010212012200002
41323333033100321013
54140123042212221
6141054251511515
712422054421251
oct1737717207107
9421563765602
10133131210311
1151508108850
122197545859b
13c7288096b8
14662d2a8cd1
1536e2bc480b
hex1eff3d0e47

133131210311 has 16 divisors (see below), whose sum is σ = 146376084096. Its totient is φ = 120077100000.

The previous prime is 133131210287. The next prime is 133131210323. The reversal of 133131210311 is 113012131331.

It is a de Polignac number, because none of the positive numbers 2k-133131210311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133131210811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8957036 + ... + 8971886.

It is an arithmetic number, because the mean of its divisors is an integer number (9148505256).

Almost surely, 2133131210311 is an apocalyptic number.

133131210311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

133131210311 is a deficient number, since it is larger than the sum of its proper divisors (13244873785).

133131210311 is a wasteful number, since it uses less digits than its factorization.

133131210311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21214.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 133131210311 its reverse (113012131331), we get a palindrome (246143341642).

The spelling of 133131210311 in words is "one hundred thirty-three billion, one hundred thirty-one million, two hundred ten thousand, three hundred eleven".

Divisors: 1 11 131 1441 6221 14851 68431 163361 814951 1945481 8964461 21400291 92388071 1016268781 12102837301 133131210311