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135271311021 = 32711195196697
BaseRepresentation
bin111110111111011001…
…1000110011010101101
3110221011021211120221100
41331332303012122231
54204013423423041
6142050501353313
712526102113030
oct1757663063255
9427137746840
10135271311021
1152406146120
1222272108839
13c9a9cc7b92
1467935d3017
1537baa0d6b6
hex1f7ecc66ad

135271311021 has 24 divisors (see below), whose sum is σ = 243605479104. Its totient is φ = 70270810560.

The previous prime is 135271311017. The next prime is 135271311037. The reversal of 135271311021 is 120113172531.

135271311021 is a `hidden beast` number, since 1 + 3 + 527 + 1 + 3 + 110 + 21 = 666.

It is not a de Polignac number, because 135271311021 - 22 = 135271311017 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135271311001) 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, 97597656 + ... + 97599041.

It is an arithmetic number, because the mean of its divisors is an integer number (10150228296).

Almost surely, 2135271311021 is an apocalyptic number.

135271311021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

135271311021 is a deficient number, since it is larger than the sum of its proper divisors (108334168083).

135271311021 is a wasteful number, since it uses less digits than its factorization.

135271311021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195196721 (or 195196718 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 135271311021 its reverse (120113172531), we get a palindrome (255384483552).

The spelling of 135271311021 in words is "one hundred thirty-five billion, two hundred seventy-one million, three hundred eleven thousand, twenty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 195196697 585590091 1366376879 1756770273 2147163667 4099130637 6441491001 12297391911 15030145669 19324473003 45090437007 135271311021