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3135023131681 = 7174711319132593
BaseRepresentation
bin101101100111101101111…
…100001010110000100001
3102002201001011010001100001
4231213231330022300201
5402331011410203211
610400113145500001
7442332536640160
oct55475574126041
912081034101301
103135023131681
11aa9612912001
12427708aa1601
131998292a1cac
14aba435653d7
155683857cac1
hex2d9edf0ac21

3135023131681 has 64 divisors (see below), whose sum is σ = 3912194930688. Its totient is φ = 2451150471168.

The previous prime is 3135023131657. The next prime is 3135023131699. The reversal of 3135023131681 is 1861313205313.

It is not a de Polignac number, because 3135023131681 - 235 = 3100663393313 is a prime.

It is a super-2 number, since 2×31350231316812 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3135023131681.

It is not an unprimeable number, because it can be changed into a prime (3135023131601) 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, 1209031921 + ... + 1209034513.

It is an arithmetic number, because the mean of its divisors is an integer number (61128045792).

Almost surely, 23135023131681 is an apocalyptic number.

It is an amenable number.

3135023131681 is a deficient number, since it is larger than the sum of its proper divisors (777171799007).

3135023131681 is a wasteful number, since it uses less digits than its factorization.

3135023131681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4690.

The product of its (nonzero) digits is 38880, while the sum is 37.

Adding to 3135023131681 its reverse (1861313205313), we get a palindrome (4996336336994).

The spelling of 3135023131681 in words is "three trillion, one hundred thirty-five billion, twenty-three million, one hundred thirty-one thousand, six hundred eighty-one".

Divisors: 1 7 17 47 113 119 329 791 799 1913 1921 2593 5311 5593 13391 13447 18151 32521 37177 44081 89911 90287 121871 216169 227647 293009 308567 629377 632009 853097 1513183 1528487 2051063 2071807 3674873 4960409 4981153 10159943 10699409 13771423 14502649 25724111 34722863 34868071 71119601 84326953 96399961 172719031 233139223 234114191 560526217 590288671 1209033217 1631974561 1638799337 3923683519 3963366791 9528945689 26344732199 27743567537 66702619823 184413125393 447860447383 3135023131681