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135333125005 = 5131032229857
BaseRepresentation
bin111111000001001111…
…0111001101110001101
3110221022121011001210011
41332002132321232031
54204130240000010
6142100550313221
712530452403521
oct1760236715615
9427277131704
10135333125005
1152438025961
122228a958811
13c9b9a5b6c0
14679b8c3d81
1537c116da8a
hex1f827b9b8d

135333125005 has 48 divisors (see below), whose sum is σ = 177584687280. Its totient is φ = 98420880384.

The previous prime is 135333124981. The next prime is 135333125021. The reversal of 135333125005 is 500521333531.

It can be written as a sum of positive squares in 8 ways, for example, as 8252995716 + 127080129289 = 90846^2 + 356483^2 .

It is not a de Polignac number, because 135333125005 - 235 = 100973386637 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157914537 + ... + 157915393.

It is an arithmetic number, because the mean of its divisors is an integer number (3699680985).

Almost surely, 2135333125005 is an apocalyptic number.

It is an amenable number.

135333125005 is a deficient number, since it is larger than the sum of its proper divisors (42251562275).

135333125005 is a wasteful number, since it uses less digits than its factorization.

135333125005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 31.

Adding to 135333125005 its reverse (500521333531), we get a palindrome (635854458536).

The spelling of 135333125005 in words is "one hundred thirty-five billion, three hundred thirty-three million, one hundred twenty-five thousand, five".

Divisors: 1 5 13 65 103 229 515 857 1145 1339 2977 4285 6695 10609 11141 14885 23587 53045 55705 88271 117935 137917 196253 306631 441355 689585 981265 1147523 1533155 2429461 2551289 5737615 9091913 12147305 12756445 20214059 31582993 45459565 101070295 118194869 157914965 262782767 590974345 1313913835 2082048077 10410240385 27066625001 135333125005