Search a number
-
+
20123113221414 = 233763184367273
BaseRepresentation
bin1001001001101010001110…
…00000111110110100100110
32122020202021100201011002000
410210311013000332310212
510114144113441041124
6110444233001430130
74144563335106360
oct444650700766446
978222240634060
1020123113221414
116459189894515
12230bbb1a9b346
13b2c7a8475048
144d7d6cc3dd30
1524d6ad2e76c9
hex124d4703ed26

20123113221414 has 64 divisors (see below), whose sum is σ = 51187312481280. Its totient is φ = 5740349186880.

The previous prime is 20123113221413. The next prime is 20123113221503. The reversal of 20123113221414 is 41412231132102.

20123113221414 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 311 + 322 + 14 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123113221413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41945119 + ... + 42422154.

It is an arithmetic number, because the mean of its divisors is an integer number (799801757520).

Almost surely, 220123113221414 is an apocalyptic number.

20123113221414 is an abundant number, since it is smaller than the sum of its proper divisors (31064199259866).

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

20123113221414 is a wasteful number, since it uses less digits than its factorization.

20123113221414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84367922 (or 84367916 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 20123113221414 its reverse (41412231132102), we get a palindrome (61535344353516).

The spelling of 20123113221414 in words is "twenty trillion, one hundred twenty-three billion, one hundred thirteen million, two hundred twenty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 631 1262 1893 3786 4417 5679 8834 11358 13251 17037 26502 34074 39753 79506 119259 238518 84367273 168734546 253101819 506203638 590570911 759305457 1181141822 1518610914 1771712733 2277916371 3543425466 4555832742 5315138199 10630276398 15945414597 31890829194 53235749263 106471498526 159707247789 319414495578 372650244841 479121743367 745300489682 958243486734 1117950734523 1437365230101 2235901469046 2874730460202 3353852203569 6707704407138 10061556610707 20123113221414