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135304313265 = 32511224849277
BaseRepresentation
bin111111000000011000…
…0111111100110110001
3110221020120221021111200
41332000300333212301
54204100401011030
6142054041001413
712526652454342
oct1760060774661
9427216837450
10135304313265
1152422837200
1222281183269
13c9b3ab1534
146797b440c9
1537bd87bd60
hex1f80c3f9b1

135304313265 has 36 divisors (see below), whose sum is σ = 257786409972. Its totient is φ = 65602088640.

The previous prime is 135304313257. The next prime is 135304313273. The reversal of 135304313265 is 562313403531.

135304313265 is a `hidden beast` number, since 1 + 3 + 530 + 4 + 31 + 32 + 65 = 666.

It is an interprime number because it is at equal distance from previous prime (135304313257) and next prime (135304313273).

It can be written as a sum of positive squares in 2 ways, for example, as 70938593649 + 64365719616 = 266343^2 + 253704^2 .

It is not a de Polignac number, because 135304313265 - 23 = 135304313257 is a prime.

It is a super-2 number, since 2×1353043132652 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12419194 + ... + 12430083.

Almost surely, 2135304313265 is an apocalyptic number.

135304313265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135304313265 is a deficient number, since it is larger than the sum of its proper divisors (122482096707).

135304313265 is a wasteful number, since it uses less digits than its factorization.

135304313265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24849310 (or 24849296 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

Adding to 135304313265 its reverse (562313403531), we get a palindrome (697617716796).

The spelling of 135304313265 in words is "one hundred thirty-five billion, three hundred four million, three hundred thirteen thousand, two hundred sixty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 121 165 363 495 605 1089 1815 5445 24849277 74547831 124246385 223643493 273342047 372739155 820026141 1118217465 1366710235 2460078423 3006762517 4100130705 9020287551 12300392115 15033812585 27060862653 45101437755 135304313265