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31311230214340 = 225101149104030933
BaseRepresentation
bin1110001111010001101101…
…10000010010000011000100
311002212022202110200012122201
413013220312300102003010
513101000344413324330
6150332103001204244
76411106321331356
oct707506660220304
9132768673605581
1031311230214340
119a820221a051a
1236183ab790684
131461837066a1b
147a36862110d6
15394724ab4eca
hex1c7a36c120c4

31311230214340 has 48 divisors (see below), whose sum is σ = 66850278188400. Its totient is φ = 12317262348800.

The previous prime is 31311230214307. The next prime is 31311230214367. The reversal of 31311230214340 is 4341203211313.

It can be written as a sum of positive squares in 8 ways, for example, as 243181141956 + 31068049072384 = 493134^2 + 5573872^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31311230214299 and 31311230214308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51714487 + ... + 52316446.

It is an arithmetic number, because the mean of its divisors is an integer number (1392714128925).

Almost surely, 231311230214340 is an apocalyptic number.

It is an amenable number.

31311230214340 is an abundant number, since it is smaller than the sum of its proper divisors (35539047974060).

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

31311230214340 is a wasteful number, since it uses less digits than its factorization.

31311230214340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104031192 (or 104031190 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 31311230214340 its reverse (4341203211313), we get a palindrome (35652433425653).

The spelling of 31311230214340 in words is "thirty-one trillion, three hundred eleven billion, two hundred thirty million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 101 149 202 298 404 505 596 745 1010 1490 2020 2980 15049 30098 60196 75245 150490 300980 104030933 208061866 416123732 520154665 1040309330 2080618660 10507124233 15500609017 21014248466 31001218034 42028496932 52535621165 62002436068 77503045085 105071242330 155006090170 210142484660 310012180340 1565561510717 3131123021434 6262246042868 7827807553585 15655615107170 31311230214340