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131322132333 = 347233086957
BaseRepresentation
bin111101001001101101…
…0001011011101101101
3110112222001202112020000
41322103122023131231
54122421431213313
6140154545014513
712326166464400
oct1722332133555
9415861675200
10131322132333
1150769a13787
122154b624439
13c4caa8b662
1464dad0bd37
153638e76673
hex1e9368b76d

131322132333 has 30 divisors (see below), whose sum is σ = 228200749326. Its totient is φ = 75041216208.

The previous prime is 131322132313. The next prime is 131322132391. The reversal of 131322132333 is 333231223131.

131322132333 is a `hidden beast` number, since 1 + 3 + 1 + 322 + 1 + 3 + 2 + 333 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99781437924 + 31540694409 = 315882^2 + 177597^2 .

It is not a de Polignac number, because 131322132333 - 28 = 131322132077 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131322132297 and 131322132306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131322132313) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16539510 + ... + 16547447.

Almost surely, 2131322132333 is an apocalyptic number.

It is an amenable number.

131322132333 is a deficient number, since it is larger than the sum of its proper divisors (96878616993).

131322132333 is an equidigital number, since it uses as much as digits as its factorization.

131322132333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33086983 (or 33086967 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 131322132333 its reverse (333231223131), we get a palindrome (464553355464).

The spelling of 131322132333 in words is "one hundred thirty-one billion, three hundred twenty-two million, one hundred thirty-two thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 33086957 99260871 231608699 297782613 694826097 893347839 1621260893 2084478291 2680043517 4863782679 6253434873 14591348037 18760304619 43774044111 131322132333