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311331143240442 = 2321310427127599019
BaseRepresentation
bin100011011001001110110111…
…0001100110100101011111010
31111211022222002200000211100100
41012302131232030310223322
5311301322140132143232
63022051315220420230
7122401634650033323
oct10662355614645372
91454288080024310
10311331143240442
1190221883a78176
122ab02089b47676
131049452982cca0
1456c471731144a
1525ed686878c7c
hex11b276e334afa

311331143240442 has 48 divisors (see below), whose sum is σ = 726509008985760. Its totient is φ = 95785010040096.

The previous prime is 311331143240317. The next prime is 311331143240473. The reversal of 311331143240442 is 244042341133113.

311331143240442 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 31 + 143 + 2 + 40 + 442 = 666.

It is a super-2 number, since 2×3113311432404422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311331143240397 and 311331143240406.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61359592 + ... + 66239427.

It is an arithmetic number, because the mean of its divisors is an integer number (15135604353870).

Almost surely, 2311331143240442 is an apocalyptic number.

311331143240442 is an abundant number, since it is smaller than the sum of its proper divisors (415177865745318).

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

311331143240442 is a wasteful number, since it uses less digits than its factorization.

311331143240442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127609467 (or 127609464 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 311331143240442 its reverse (244042341133113), we get a palindrome (555373484373555).

The spelling of 311331143240442 in words is "three hundred eleven trillion, three hundred thirty-one billion, one hundred forty-three million, two hundred forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 10427 20854 31281 62562 93843 135551 187686 271102 406653 813306 1219959 2439918 127599019 255198038 382797057 765594114 1148391171 1658787247 2296782342 3317574494 4976361741 9952723482 14929085223 29858170446 1330474971113 2660949942226 3991424913339 7982849826678 11974274740017 17296174624469 23948549480034 34592349248938 51888523873407 103777047746814 155665571620221 311331143240442