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135201311 = 7791092243
BaseRepresentation
bin10000000111100…
…00001000011111
3100102101221022222
420003300020133
5234102420221
621225455555
73231122630
oct1003601037
9312357288
10135201311
116a354823
12393415bb
132201a09b
1413d55887
15bd099ab
hex80f021f

135201311 has 16 divisors (see below), whose sum is σ = 157977600. Its totient is φ = 113319648.

The previous prime is 135201307. The next prime is 135201317. The reversal of 135201311 is 113102531.

It is a cyclic number.

It is not a de Polignac number, because 135201311 - 22 = 135201307 is a prime.

It is a super-2 number, since 2×1352013112 = 36558788992237442, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135201311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135201317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59156 + ... + 61398.

It is an arithmetic number, because the mean of its divisors is an integer number (9873600).

Almost surely, 2135201311 is an apocalyptic number.

135201311 is a deficient number, since it is larger than the sum of its proper divisors (22776289).

135201311 is a wasteful number, since it uses less digits than its factorization.

135201311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438.

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 135201311 is about 11627.6098575761. The cubic root of 135201311 is about 513.2476477079.

Adding to 135201311 its reverse (113102531), we get a palindrome (248303842).

The spelling of 135201311 in words is "one hundred thirty-five million, two hundred one thousand, three hundred eleven".

Divisors: 1 7 79 109 553 763 2243 8611 15701 60277 177197 244487 1240379 1711409 19314473 135201311