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2311131023214 = 23131943170921221
BaseRepresentation
bin100001101000011010001…
…001001100011101101110
322011221102200202110000020
4201220122021030131232
5300331144020220324
64525415142343010
7325654660365216
oct41503211143556
98157380673006
102311131023214
11811166236622
12313ab512aa66
13139c284a3a40
147dc0604b246
15401b79ac679
hex21a1a24c76e

2311131023214 has 128 divisors (see below), whose sum is σ = 5365057420800. Its totient is φ = 657606781440.

The previous prime is 2311131023207. The next prime is 2311131023237. The reversal of 2311131023214 is 4123201311132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108897124 + ... + 108918344.

It is an arithmetic number, because the mean of its divisors is an integer number (41914511100).

Almost surely, 22311131023214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2311131023214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2682528710400).

2311131023214 is an abundant number, since it is smaller than the sum of its proper divisors (3053926397586).

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

2311131023214 is a wasteful number, since it uses less digits than its factorization.

2311131023214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23010.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 2311131023214 its reverse (4123201311132), we get a palindrome (6434332334346).

The spelling of 2311131023214 in words is "two trillion, three hundred eleven billion, one hundred thirty-one million, twenty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 13 19 26 38 39 43 57 78 86 114 129 247 258 494 559 741 817 1118 1482 1634 1677 1709 2451 3354 3418 4902 5127 10254 10621 21221 21242 22217 31863 32471 42442 44434 63663 63726 64942 66651 73487 97413 127326 133302 146974 194826 220461 275873 403199 422123 440922 551746 806398 827619 844246 912503 955331 1209597 1266369 1396253 1655238 1825006 1910662 2419194 2532738 2737509 2792506 2865993 4188759 5241587 5475018 5731986 8377518 10483174 11862539 15724761 17337557 18151289 23725078 31449522 34675114 35587617 36266689 36302578 52012671 54453867 71175234 72533378 104025342 108800067 108907734 217600134 225388241 450776482 471466957 676164723 689067091 942933914 1352329446 1378134182 1414400871 1559467627 2067201273 2828801742 3118935254 4134402546 4678402881 8957872183 9356805762 17915744366 20273079151 26873616549 29629884913 40546158302 53747233098 59259769826 60819237453 88889654739 121638474906 177779309478 385188503869 770377007738 1155565511607 2311131023214