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311122010122 = 27311219197273
BaseRepresentation
bin1001000011100000101…
…00010010000000001010
31002202001121221200101221
410201300110102000022
520044134213310442
6354532200232254
731322615311000
oct4416024220012
91082047850357
10311122010122
1110aa4529a100
125036a16b68a
13234531050a1
14110b62d2a70
15815dcee467
hex487051200a

311122010122 has 96 divisors (see below), whose sum is σ = 629698608000. Its totient is φ = 114835976640.

The previous prime is 311122010107. The next prime is 311122010123. The reversal of 311122010122 is 221010221113.

It is a junction number, because it is equal to n+sod(n) for n = 311122010096 and 311122010105.

It is not an unprimeable number, because it can be changed into a prime (311122010123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1478478 + ... + 1675750.

It is an arithmetic number, because the mean of its divisors is an integer number (6559360500).

Almost surely, 2311122010122 is an apocalyptic number.

311122010122 is an abundant number, since it is smaller than the sum of its proper divisors (318576597878).

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

311122010122 is a wasteful number, since it uses less digits than its factorization.

311122010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197337 (or 197312 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 311122010122 its reverse (221010221113), we get a palindrome (532132231235).

The spelling of 311122010122 in words is "three hundred eleven billion, one hundred twenty-two million, ten thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 19 22 38 49 77 98 121 133 154 209 242 266 343 418 539 686 847 931 1078 1463 1694 1862 2299 2926 3773 4598 5929 6517 7546 10241 11858 13034 16093 20482 32186 41503 71687 83006 112651 143374 197273 225302 394546 788557 1380911 1577114 2170003 2761822 3748187 4340006 7496374 9666377 15190021 19332754 23870033 26237309 30380042 41230057 47740066 52474618 67664639 82460114 106330147 135329278 167090231 183661163 212660294 288610399 334180462 367322326 453530627 577220798 744311029 907061254 1169631617 1285628141 1488622058 2020272793 2339263234 2571256282 3174714389 4040545586 6349428778 8187421319 14141909551 16374842638 22223000723 28283819102 44446001446 155561005061 311122010122