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311431323113313 = 313411098812028203
BaseRepresentation
bin100011011001111101100000…
…1011000101101011101100001
31111211200112200101010122210020
41012303323001120231131201
5311304442322204111223
63022205324051024053
7122412112336640454
oct10663730130553541
91454615611118706
10311431323113313
1190260311999437
122ab19587b9b029
13104a0b0369a780
1456c94dc1d549b
15260109b7941e3
hex11b3ec162d761

311431323113313 has 64 divisors (see below), whose sum is σ = 462817980092160. Its totient is φ = 185049905356800.

The previous prime is 311431323113263. The next prime is 311431323113333. The reversal of 311431323113313 is 313311323134113.

It is not a de Polignac number, because 311431323113313 - 213 = 311431323105121 is a prime.

It is a super-2 number, since 2×3114313231133132 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311431323113333) 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, 152536270 + ... + 154564472.

It is an arithmetic number, because the mean of its divisors is an integer number (7231530938940).

Almost surely, 2311431323113313 is an apocalyptic number.

It is an amenable number.

311431323113313 is a deficient number, since it is larger than the sum of its proper divisors (151386656978847).

311431323113313 is a wasteful number, since it uses less digits than its factorization.

311431323113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029250.

The product of its digits is 17496, while the sum is 33.

Adding to 311431323113313 its reverse (313311323134113), we get a palindrome (624742646247426).

The spelling of 311431323113313 in words is "three hundred eleven trillion, four hundred thirty-one billion, three hundred twenty-three million, one hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 13 39 41 109 123 327 533 881 1417 1599 2643 4251 4469 11453 13407 34359 36121 58097 96029 108363 174291 288087 469573 1248377 1408719 2028203 3745131 3937189 6084609 11811567 26366639 51183457 79099917 83156323 153550371 221074127 249468969 663222381 1081032199 1786846843 2873963651 3243096597 5360540529 8621890953 9064039207 23229008959 27192117621 69687026877 73260720563 117832509691 194766305887 219782161689 353497529073 584298917661 952389367319 2531961976531 2857168101957 7595885929593 7985418541367 23956255624101 103810441037771 311431323113313