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135412214531 = 113101737201
BaseRepresentation
bin111111000011100110…
…0100110101100000011
3110221112002222020012212
41332013030212230003
54204311011331111
6142112453412335
712532432555316
oct1760714465403
9427462866185
10135412214531
1152478735000
12222b133a0ab
13ca00260539
1467a81d097d
1537c809298b
hex1f87326b03

135412214531 has 8 divisors (see below), whose sum is σ = 148943263728. Its totient is φ = 123102012000.

The previous prime is 135412214527. The next prime is 135412214551.

135412214531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135412214531 - 22 = 135412214527 is a prime.

It is a super-2 number, since 2×1354122145312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135412214551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50867270 + ... + 50869931.

It is an arithmetic number, because the mean of its divisors is an integer number (18617907966).

Almost surely, 2135412214531 is an apocalyptic number.

135412214531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135412214531 is a deficient number, since it is larger than the sum of its proper divisors (13531049197).

135412214531 is an equidigital number, since it uses as much as digits as its factorization.

135412214531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101737234 (or 101737212 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

It can be divided in two parts, 135412 and 214531, that added together give a palindrome (349943).

The spelling of 135412214531 in words is "one hundred thirty-five billion, four hundred twelve million, two hundred fourteen thousand, five hundred thirty-one".

Divisors: 1 11 121 1331 101737201 1119109211 12310201321 135412214531