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2211681813411 = 372194319519439
BaseRepresentation
bin100000001011110010100…
…000100100001110100011
321211102201220112010212110
4200023302200210032203
5242214011021012121
64412011012530403
7315534352142100
oct40136240441643
97742656463773
102211681813411
11782a727a8334
122b877b920a03
13130739b20375
1479090203aa7
153c7e6cbed76
hex202f28243a3

2211681813411 has 96 divisors (see below), whose sum is σ = 3697169203200. Its totient is φ = 1168733966400.

The previous prime is 2211681813401. The next prime is 2211681813443. The reversal of 2211681813411 is 1143181861122.

It is a happy number.

It is not a de Polignac number, because 2211681813411 - 213 = 2211681805219 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2211681813411.

It is not an unprimeable number, because it can be changed into a prime (2211681813401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234308430 + ... + 234317868.

It is an arithmetic number, because the mean of its divisors is an integer number (38512179200).

Almost surely, 22211681813411 is an apocalyptic number.

2211681813411 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2211681813411 is a deficient number, since it is larger than the sum of its proper divisors (1485487389789).

2211681813411 is a wasteful number, since it uses less digits than its factorization.

2211681813411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11469 (or 11462 counting only the distinct ones).

The product of its digits is 18432, while the sum is 39.

The spelling of 2211681813411 in words is "two trillion, two hundred eleven billion, six hundred eighty-one million, eight hundred thirteen thousand, four hundred eleven".

Divisors: 1 3 7 19 21 43 49 57 129 133 147 301 399 817 903 931 1951 2107 2451 2793 5719 5853 6321 9439 13657 17157 28317 37069 40033 40971 66073 83893 95599 111207 120099 179341 198219 251679 259483 286797 405877 462511 538023 587251 778449 1217631 1255387 1387533 1593967 1761753 1816381 2841139 3766161 4110757 4781901 5449143 7711663 8523417 8787709 11157769 12332271 18415489 19887973 23134989 26363127 33473307 53981641 55246467 59663919 78104383 128908423 161944923 234313149 349894291 377871487 386725269 791866027 902358961 1049682873 1133614461 2375598081 2449260037 2707076883 5543062189 7347780111 15045454513 16629186567 17144820259 38801435323 45136363539 51434460777 105318181591 116404305969 315954544773 737227271137 2211681813411