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131311003311 = 3323216755051
BaseRepresentation
bin111101001001010111…
…1101110011010101111
3110112221021211010002000
41322102233232122233
54122411104101221
6140153510303343
712326003053305
oct1722257563257
9415837733060
10131311003311
1150763702344
1221547957b53
13c4c8692c37
1464d9652275
153637ec8e26
hex1e92bee6af

131311003311 has 48 divisors (see below), whose sum is σ = 204582040320. Its totient is φ = 83231636400.

The previous prime is 131311003297. The next prime is 131311003333. The reversal of 131311003311 is 113300113131.

It is not a de Polignac number, because 131311003311 - 210 = 131311002287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131311003391) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2357736 + ... + 2412786.

It is an arithmetic number, because the mean of its divisors is an integer number (4262125840).

Almost surely, 2131311003311 is an apocalyptic number.

131311003311 is a deficient number, since it is larger than the sum of its proper divisors (73271037009).

131311003311 is a wasteful number, since it uses less digits than its factorization.

131311003311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55273 (or 55244 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 131311003311 its reverse (113300113131), we get a palindrome (244611116442).

The spelling of 131311003311 in words is "one hundred thirty-one billion, three hundred eleven million, three thousand, three hundred eleven".

Divisors: 1 3 9 23 27 69 167 207 501 529 621 1503 1587 3841 4509 4761 11523 14283 34569 55051 88343 103707 165153 265029 495459 795087 1266173 1486377 2385261 3798519 9193517 11395557 27580551 29121979 34186671 82741653 87365937 211450891 248224959 262097811 634352673 786293433 1903058019 4863370493 5709174057 14590111479 43770334437 131311003311