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134531135431 = 71117913737109
BaseRepresentation
bin111110101001010101…
…1100011011111000111
3110212020201001202220121
41331102223203133013
54201004432313211
6141445221042411
712501543532510
oct1752253433707
9425221052817
10134531135431
1152066356260
12220a6256407
13c8bc860064
14672319ba07
153775a52271
hex1f52ae37c7

134531135431 has 32 divisors (see below), whose sum is σ = 168810739200. Its totient is φ = 104153239680.

The previous prime is 134531135429. The next prime is 134531135437.

134531135431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134531135431 - 21 = 134531135429 is a prime.

It is a super-2 number, since 2×1345311354312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134531135437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18920505 + ... + 18927613.

It is an arithmetic number, because the mean of its divisors is an integer number (5275335600).

Almost surely, 2134531135431 is an apocalyptic number.

134531135431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

134531135431 is a deficient number, since it is larger than the sum of its proper divisors (34279603769).

134531135431 is a wasteful number, since it uses less digits than its factorization.

134531135431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8679.

The product of its digits is 32400, while the sum is 34.

It can be divided in two parts, 134531 and 135431, that added together give a palindrome (269962).

The spelling of 134531135431 in words is "one hundred thirty-four billion, five hundred thirty-one million, one hundred thirty-five thousand, four hundred thirty-one".

Divisors: 1 7 11 77 179 1253 1373 1969 7109 9611 13783 15103 49763 78199 105721 245767 547393 1272511 1720369 2703437 8907577 9760657 13997621 18924059 68324599 97983347 107367227 751570589 1747157603 12230103221 19218733633 134531135431