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312211242110424 = 233231760932119943
BaseRepresentation
bin100011011111101000101100…
…0001011100100110111011000
31111221110002210021022202110010
41012333101120023210313120
5311410232110440013144
63024003510425521520
7122522342426014536
oct10677213013446730
91457402707282403
10312211242110424
1190531053928478
122b0247693432a0
131052951724a7c7
1457151675cb156
1526164e6b695b9
hex11bf4582e4dd8

312211242110424 has 64 divisors (see below), whose sum is σ = 814510387929600. Its totient is φ = 99539957217536.

The previous prime is 312211242110423. The next prime is 312211242110461. The reversal of 312211242110424 is 424011242112213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 312211242110391 and 312211242110400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312211242110423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6339804 + ... + 25780139.

It is an arithmetic number, because the mean of its divisors is an integer number (12726724811400).

Almost surely, 2312211242110424 is an apocalyptic number.

It is an amenable number.

312211242110424 is an abundant number, since it is smaller than the sum of its proper divisors (502299145819176).

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

312211242110424 is a wasteful number, since it uses less digits than its factorization.

312211242110424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32137584 (or 32137580 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 312211242110424 its reverse (424011242112213), we get a palindrome (736222484222637).

The spelling of 312211242110424 in words is "three hundred twelve trillion, two hundred eleven billion, two hundred forty-two million, one hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 17609 35218 52827 70436 105654 140872 211308 405007 422616 810014 1215021 1620028 2430042 3240056 4860084 9720168 32119943 64239886 96359829 128479772 192719658 256959544 385439316 738758689 770878632 1477517378 2216276067 2955034756 4432552134 5910069512 8865104268 17730208536 565600076287 1131200152574 1696800228861 2262400305148 3393600457722 4524800610296 6787200915444 13008801754601 13574401830888 26017603509202 39026405263803 52035207018404 78052810527606 104070414036808 156105621055212 312211242110424