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135353353531 = 1171792193769
BaseRepresentation
bin111111000001110110…
…0000100010100111011
3110221101000012210002211
41332003230010110323
54204200424303111
6142102552035551
712531116344024
oct1760354042473
9427330183084
10135353353531
1152448491950
1222295692bb7
13c9c0cc1b46
1467a046bc4b
1537c2d17521
hex1f83b0453b

135353353531 has 16 divisors (see below), whose sum is σ = 151633382400. Its totient is φ = 119779732800.

The previous prime is 135353353529. The next prime is 135353353543.

135353353531 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 135353353531 - 21 = 135353353529 is a prime.

It is a super-2 number, since 2×1353533535312 (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 (135353353511) 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 15 ways as a sum of consecutive naturals, for example, 1035186 + ... + 1158583.

It is an arithmetic number, because the mean of its divisors is an integer number (9477086400).

Almost surely, 2135353353531 is an apocalyptic number.

135353353531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135353353531 is a deficient number, since it is larger than the sum of its proper divisors (16280028869).

135353353531 is a wasteful number, since it uses less digits than its factorization.

135353353531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2193930.

The product of its digits is 455625, while the sum is 40.

It can be divided in two parts, 135353 and 353531, that added together give a palindrome (488884).

The spelling of 135353353531 in words is "one hundred thirty-five billion, three hundred fifty-three million, three hundred fifty-three thousand, five hundred thirty-one".

Divisors: 1 11 71 79 781 869 5609 61699 2193769 24131459 155757599 173307751 1713333589 1906385261 12304850321 135353353531