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313113001212 = 2232111746511141
BaseRepresentation
bin1001000111001101111…
…11010011110011111100
31002221012101100111201200
410203212333103303330
520112223412014322
6355501522135500
731423142411514
oct4434677236374
91087171314650
10313113001212
11110877143190
1250824ab1590
13236ac746a1b
14112248c4844
1582289d28ac
hex48e6fd3cfc

313113001212 has 72 divisors (see below), whose sum is σ = 914223007152. Its totient is φ = 89301388800.

The previous prime is 313113001207. The next prime is 313113001219. The reversal of 313113001212 is 212100311313.

313113001212 is a `hidden beast` number, since 31 + 311 + 300 + 1 + 21 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313113001219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23248839 + ... + 23262302.

It is an arithmetic number, because the mean of its divisors is an integer number (12697541766).

Almost surely, 2313113001212 is an apocalyptic number.

It is an amenable number.

313113001212 is an abundant number, since it is smaller than the sum of its proper divisors (601110005940).

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

313113001212 is a wasteful number, since it uses less digits than its factorization.

313113001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46511179 (or 46511174 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 313113001212 its reverse (212100311313), we get a palindrome (525213312525).

The spelling of 313113001212 in words is "three hundred thirteen billion, one hundred thirteen million, one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 46511141 93022282 139533423 186044564 279066846 418600269 511622551 558133692 790689397 837200538 1023245102 1534867653 1581378794 1674401076 2046490204 2372068191 3069735306 3162757588 4604602959 4744136382 6139470612 7116204573 8697583367 9209205918 9488272764 14232409146 17395166734 18418411836 26092750101 28464818292 34790333468 52185500202 78278250303 104371000404 156556500606 313113001212