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7135885317 = 3116771131347
BaseRepresentation
bin1101010010101010…
…01111100000000101
3200102022102112101210
412221111033200011
5104103241312232
63140030442033
7341556011241
oct65125174005
920368375353
107135885317
113032026290
121471963319
13899502462
144b9a0d421
152bb70b5cc
hex1a954f805

7135885317 has 64 divisors (see below), whose sum is σ = 10795327488. Its totient is φ = 4156152000.

The previous prime is 7135885313. The next prime is 7135885321.

7135885317 is nontrivially palindromic in base 10.

7135885317 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (7135885313) and next prime (7135885321).

It is not a de Polignac number, because 7135885317 - 22 = 7135885313 is a prime.

Its product of digits (705600) is a multiple of the sum of its prime divisors (630).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7135885313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20564338 + ... + 20564684.

It is an arithmetic number, because the mean of its divisors is an integer number (168676992).

Almost surely, 27135885317 is an apocalyptic number.

It is an amenable number.

7135885317 is a deficient number, since it is larger than the sum of its proper divisors (3659442171).

7135885317 is a wasteful number, since it uses less digits than its factorization.

7135885317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630.

The product of its digits is 705600, while the sum is 48.

The square root of 7135885317 is about 84474.1695253644. The cubic root of 7135885317 is about 1925.2300004713.

The spelling of 7135885317 in words is "seven billion, one hundred thirty-five million, eight hundred eighty-five thousand, three hundred seventeen".

Divisors: 1 3 11 33 67 71 131 201 213 347 393 737 781 1041 1441 2211 2343 3817 4323 4757 8777 9301 11451 14271 23249 24637 26331 27903 45457 52327 69747 73911 96547 102311 136371 156981 255739 271007 289641 306933 500027 623167 767217 813021 1500081 1650679 1869501 3045619 3227447 4952037 6854837 9136857 9682341 18157469 20564511 33501809 35501917 54472407 100505427 106505751 216238949 648716847 2378628439 7135885317