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3431300001311 = 721373891316329
BaseRepresentation
bin110001111011101001011…
…010101110111000011111
3110011000210012022110100202
4301323221122232320133
5422204300300020221
611144152323214115
7502621545531200
oct61735132567037
913130705273322
103431300001311
11110322a440356
1247501351733b
131bb75496ba80
14bc10c0255a7
155e3c8e56d0b
hex31ee96aee1f

3431300001311 has 96 divisors (see below), whose sum is σ = 4440734020800. Its totient is φ = 2626972508160.

The previous prime is 3431300001289. The next prime is 3431300001323. The reversal of 3431300001311 is 1131000031343.

It is not a de Polignac number, because 3431300001311 - 210 = 3431300000287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431300001331) 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, 542151995 + ... + 542158323.

It is an arithmetic number, because the mean of its divisors is an integer number (46257646050).

Almost surely, 23431300001311 is an apocalyptic number.

3431300001311 is a deficient number, since it is larger than the sum of its proper divisors (1009434019489).

3431300001311 is a wasteful number, since it uses less digits than its factorization.

3431300001311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6649 (or 6642 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 3431300001311 its reverse (1131000031343), we get a palindrome (4562300032654).

The spelling of 3431300001311 in words is "three trillion, four hundred thirty-one billion, three hundred million, one thousand, three hundred eleven".

Divisors: 1 7 13 49 73 89 91 131 511 623 637 917 949 1157 1703 3577 4361 6329 6419 6497 6643 8099 9563 11659 11921 44303 45479 46501 56693 66941 81613 82277 83447 84461 124319 151567 310121 318353 462017 468587 563281 571291 575939 591227 829099 851107 870233 1060969 3234119 3942967 4031573 4138589 5803693 5957749 6006221 6091631 7322653 7426783 10778287 11064391 22638833 27600769 40625851 41119513 41704243 42043547 51258571 60524227 73789811 75448009 77450737 287836591 294304829 358809997 423669589 516528677 528136063 534553669 542155159 786814951 959267543 2014856137 2965687123 3615700739 3741875683 5386656203 5507704657 6714872801 26193129781 37706593421 38553932599 47004109607 70026530639 263946153947 490185714473 3431300001311