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10253135165 = 5713296471201
BaseRepresentation
bin10011000110010001…
…00110110100111101
3222110120002020021212
421203020212310331
5131444300311130
64413224134205
7512040132230
oct114310466475
928416066255
1010253135165
11439169a229
121ba1907365
13c75289bb0
146d3a17417
15400210e95
hex263226d3d

10253135165 has 64 divisors (see below), whose sum is σ = 15702543360. Its totient is φ = 6251212800.

The previous prime is 10253135161. The next prime is 10253135171. The reversal of 10253135165 is 56153135201.

10253135165 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10253135165 - 22 = 10253135161 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253135161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8536565 + ... + 8537765.

It is an arithmetic number, because the mean of its divisors is an integer number (245352240).

Almost surely, 210253135165 is an apocalyptic number.

It is an amenable number.

10253135165 is a deficient number, since it is larger than the sum of its proper divisors (5449408195).

10253135165 is a wasteful number, since it uses less digits than its factorization.

10253135165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902.

The product of its (nonzero) digits is 13500, while the sum is 32.

The spelling of 10253135165 in words is "ten billion, two hundred fifty-three million, one hundred thirty-five thousand, one hundred sixty-five".

Divisors: 1 5 7 13 29 35 65 91 145 203 377 455 647 1015 1201 1885 2639 3235 4529 6005 8407 8411 13195 15613 18763 22645 34829 42035 42055 58877 78065 93815 109291 131341 174145 243803 243919 294385 452777 546455 656705 777047 1219015 1219595 1707433 2263885 3169439 3885235 5439329 8537165 10101611 15847195 22534363 27196645 50508055 70711277 112671815 157740541 292946719 353556385 788702705 1464733595 2050627033 10253135165