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135540421081 = 1373142824469
BaseRepresentation
bin111111000111011010…
…1101011000111011001
3110221212001012210112121
41332032311223013121
54210041321433311
6142133313341241
712535550366332
oct1761665530731
9427761183477
10135540421081
115253404152a
1222328267821
13ca2099b8c0
1467bb245289
1537d4469b71
hex1f8ed6b1d9

135540421081 has 8 divisors (see below), whose sum is σ = 147966150920. Its totient is φ = 123400340352.

The previous prime is 135540421069. The next prime is 135540421091. The reversal of 135540421081 is 180124045531.

It can be written as a sum of positive squares in 4 ways, for example, as 15536376025 + 120004045056 = 124645^2 + 346416^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135540421081 - 221 = 135538323929 is a prime.

It is a super-2 number, since 2×1355404210812 (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 (135540421001) 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 7 ways as a sum of consecutive naturals, for example, 71411286 + ... + 71413183.

It is an arithmetic number, because the mean of its divisors is an integer number (18495768865).

Almost surely, 2135540421081 is an apocalyptic number.

It is an amenable number.

135540421081 is a deficient number, since it is larger than the sum of its proper divisors (12425729839).

135540421081 is a wasteful number, since it uses less digits than its factorization.

135540421081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142824555.

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 135540421081 in words is "one hundred thirty-five billion, five hundred forty million, four hundred twenty-one thousand, eighty-one".

Divisors: 1 13 73 949 142824469 1856718097 10426186237 135540421081