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313140352212 = 223210979801313
BaseRepresentation
bin1001000111010001001…
…11101001010011010100
31002221021021211002020200
410203220213221103110
520112302412232322
6355504340300500
731423624035162
oct4435047512324
91087237732220
10313140352212
11110890624416
12508320a1730
13236b530204c
14112283a4232
15822b0d68ac
hex48e89e94d4

313140352212 has 36 divisors (see below), whose sum is σ = 798811153140. Its totient is φ = 103422500352.

The previous prime is 313140352181. The next prime is 313140352219. The reversal of 313140352212 is 212253041313.

313140352212 is a `hidden beast` number, since 3 + 1 + 31 + 403 + 5 + 221 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 236785399236 + 76354952976 = 486606^2 + 276324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×3131403522123 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313140352219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39896733 + ... + 39904580.

Almost surely, 2313140352212 is an apocalyptic number.

It is an amenable number.

313140352212 is an abundant number, since it is smaller than the sum of its proper divisors (485670800928).

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

313140352212 is a wasteful number, since it uses less digits than its factorization.

313140352212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79801432 (or 79801427 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 313140352212 its reverse (212253041313), we get a palindrome (525393393525).

The spelling of 313140352212 in words is "three hundred thirteen billion, one hundred forty million, three hundred fifty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 79801313 159602626 239403939 319205252 478807878 718211817 957615756 1436423634 2872847268 8698343117 17396686234 26095029351 34793372468 52190058702 78285088053 104380117404 156570176106 313140352212