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135345351105 = 32510331193893
BaseRepresentation
bin111111000001100110…
…1100010100111000001
3110221100110011012211200
41332003031202213001
54204141402213410
6142102104331413
712530661334236
oct1760315424701
9427313135750
10135345351105
1152443a16578
1222292a73b69
13c9bc44c593
14679d38778d
1537c22863c0
hex1f833629c1

135345351105 has 48 divisors (see below), whose sum is σ = 237640455936. Its totient is φ = 71252760960.

The previous prime is 135345351101. The next prime is 135345351107. The reversal of 135345351105 is 501153543531.

135345351105 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 4 + 535 + 110 + 5 = 666.

It is not a de Polignac number, because 135345351105 - 22 = 135345351101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135345351105.

It is not an unprimeable number, because it can be changed into a prime (135345351101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1394539 + ... + 1488431.

It is an arithmetic number, because the mean of its divisors is an integer number (4950842832).

Almost surely, 2135345351105 is an apocalyptic number.

135345351105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135345351105 is a deficient number, since it is larger than the sum of its proper divisors (102295104831).

135345351105 is a wasteful number, since it uses less digits than its factorization.

135345351105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94318 (or 94315 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

Adding to 135345351105 its reverse (501153543531), we get a palindrome (636498894636).

The spelling of 135345351105 in words is "one hundred thirty-five billion, three hundred forty-five million, three hundred fifty-one thousand, one hundred five".

Divisors: 1 3 5 9 15 45 103 309 311 515 927 933 1545 1555 2799 4635 4665 13995 32033 93893 96099 160165 281679 288297 469465 480495 845037 1408395 1441485 4225185 9670979 29012937 29200723 48354895 87038811 87602169 145064685 146003615 262806507 435194055 438010845 1314032535 3007674469 9023023407 15038372345 27069070221 45115117035 135345351105