| Base | Representation |
|---|---|
| bin | 111111000000101011… |
| … | …1010011111110111001 |
| 3 | 110221021021211121120100 |
| 4 | 1332001113103332321 |
| 5 | 4204110433430301 |
| 6 | 142055040150013 |
| 7 | 12530134032021 |
| oct | 1760127237671 |
| 9 | 427237747510 |
| 10 | 135314358201 |
| 11 | 52428478100 |
| 12 | 22284608309 |
| 13 | c9b5bba699 |
| 14 | 67991daa81 |
| 15 | 37be6b3286 |
| hex | 1f815d3fb9 |
135314358201 has 81 divisors (see below), whose sum is σ = 219303232239. Its totient is φ = 80338658400.
The previous prime is 135314358139. The next prime is 135314358211. The reversal of 135314358201 is 102853413531.
The square root of 135314358201 is 367851.
It is a perfect power (a square), and thus also a powerful number.
135314358201 is a `hidden beast` number, since 1 + 3 + 5 + 31 + 43 + 582 + 0 + 1 = 666.
It can be written as a sum of positive squares in only one way, i.e., 39662714025 + 95651644176 = 199155^2 + 309276^2 .
It is not a de Polignac number, because 135314358201 - 27 = 135314358073 is a prime.
It is not an unprimeable number, because it can be changed into a prime (135314358211) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 861874815 + ... + 861874971.
Almost surely, 2135314358201 is an apocalyptic number.
135314358201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
135314358201 is the 367851-st square number.
135314358201 is the 183926-th centered octagonal number.
It is an amenable number.
135314358201 is a deficient number, since it is larger than the sum of its proper divisors (83988874038).
135314358201 is an equidigital number, since it uses as much as digits as its factorization.
135314358201 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 484 (or 242 counting only the distinct ones).
The product of its (nonzero) digits is 43200, while the sum is 36.
Multiplying 135314358201 by its sum of digits (36), we get a square (4871316895236 = 22071062).
It can be divided in two parts, 1353143 and 58201, that added together give a square (1411344 = 11882).
The spelling of 135314358201 in words is "one hundred thirty-five billion, three hundred fourteen million, three hundred fifty-eight thousand, two hundred one".
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