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135312123231 = 3231883154919
BaseRepresentation
bin111111000000100111…
…0110010010101011111
3110221021010122001202200
41332001032302111133
54204104400420411
6142054520222543
712530106033045
oct1760116622537
9427233561680
10135312123231
1152427190a1a
122228390aa53
13c9b55b730c
146798bb8395
1537be3c0e56
hex1f813b255f

135312123231 has 24 divisors (see below), whose sum is σ = 201782231040. Its totient is φ = 87286669200.

The previous prime is 135312123223. The next prime is 135312123251. The reversal of 135312123231 is 132321213531.

135312123231 is a `hidden beast` number, since 1 + 3 + 531 + 2 + 123 + 2 + 3 + 1 = 666.

It is not a de Polignac number, because 135312123231 - 23 = 135312123223 is a prime.

It is a super-2 number, since 2×1353121232312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135312123195 and 135312123204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135312123211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2436390 + ... + 2491308.

It is an arithmetic number, because the mean of its divisors is an integer number (8407592960).

Almost surely, 2135312123231 is an apocalyptic number.

135312123231 is a deficient number, since it is larger than the sum of its proper divisors (66470107809).

135312123231 is a wasteful number, since it uses less digits than its factorization.

135312123231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63787 (or 63784 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

Adding to 135312123231 its reverse (132321213531), we get a palindrome (267633336762).

The spelling of 135312123231 in words is "one hundred thirty-five billion, three hundred twelve million, one hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 31 93 279 8831 26493 54919 79479 164757 273761 494271 821283 1702489 2463849 5107467 15322401 484989689 1454969067 4364907201 15034680359 45104041077 135312123231