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1313152335 = 3251117295381
BaseRepresentation
bin100111001000101…
…0001110101001111
310101111221001100200
41032101101311033
510142131333320
6334145224543
744353416315
oct11621216517
93344831320
101313152335
11614270870
12307932153
1317c091621
14c65860b5
157a43c290
hex4e451d4f

1313152335 has 96 divisors (see below), whose sum is σ = 2720278080. Its totient is φ = 578457600.

The previous prime is 1313152331. The next prime is 1313152367. The reversal of 1313152335 is 5332513131.

1313152335 is a `hidden beast` number, since 1 + 3 + 131 + 523 + 3 + 5 = 666.

It is not a de Polignac number, because 1313152335 - 22 = 1313152331 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313152299 and 1313152308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313152331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241345 + ... + 246725.

It is an arithmetic number, because the mean of its divisors is an integer number (28336230).

Almost surely, 21313152335 is an apocalyptic number.

1313152335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1313152335 is an abundant number, since it is smaller than the sum of its proper divisors (1407125745).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1313152335 is a wasteful number, since it uses less digits than its factorization.

1313152335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5449 (or 5446 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 1313152335 is about 36237.4438254135. The cubic root of 1313152335 is about 1095.0611462696.

Adding to 1313152335 its reverse (5332513131), we get a palindrome (6645665466).

The spelling of 1313152335 in words is "one billion, three hundred thirteen million, one hundred fifty-two thousand, three hundred thirty-five".

Divisors: 1 3 5 9 11 15 17 29 33 45 51 55 85 87 99 145 153 165 187 255 261 319 435 493 495 561 765 935 957 1305 1479 1595 1683 2465 2805 2871 4437 4785 5381 5423 7395 8415 14355 16143 16269 22185 26905 27115 48429 48807 59191 80715 81345 91477 156049 177573 242145 244035 274431 295955 457385 468147 532719 780245 823293 887865 1006247 1372155 1404441 1716539 2340735 2652833 2663595 3018741 4116465 5031235 5149617 7022205 7958499 8582695 9056223 13264165 15093705 15448851 23875497 25748085 29181163 39792495 45281115 77244255 87543489 119377485 145905815 262630467 437717445 1313152335