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2122133242404 = 2237193954713711
BaseRepresentation
bin11110111000011000111…
…111111000001000100100
321111212121010002101220110
4132320120333320020210
5234232112102224104
64302521120133020
7306214303636050
oct36703077701044
97455533071813
102122133242404
11748a9a98955a
122a334a167170
131251686a8346
14749d7256c60
153a3053b4e89
hex1ee18ff8224

2122133242404 has 96 divisors (see below), whose sum is σ = 5689354080256. Its totient is φ = 603075041280.

The previous prime is 2122133242391. The next prime is 2122133242423. The reversal of 2122133242404 is 4042423312212.

It is a super-2 number, since 2×21221332424042 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154769109 + ... + 154782819.

Almost surely, 22122133242404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122133242404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844677040128).

2122133242404 is an abundant number, since it is smaller than the sum of its proper divisors (3567220837852).

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

2122133242404 is a wasteful number, since it uses less digits than its factorization.

2122133242404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23465 (or 23463 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 2122133242404 its reverse (4042423312212), we get a palindrome (6164556554616).

The spelling of 2122133242404 in words is "two trillion, one hundred twenty-two billion, one hundred thirty-three million, two hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 193 386 579 772 1158 1351 2316 2702 4053 5404 8106 9547 13711 16212 19094 27422 28641 38188 41133 54844 57282 66829 82266 95977 114564 133658 164532 191954 200487 267316 287931 383908 400974 575862 801948 1151724 1842571 2646223 3685142 5292446 5527713 7370284 7938669 10584892 11055426 12897997 15877338 18523561 22110852 25795994 31754676 37047122 38693991 51591988 55570683 74094244 77387982 111141366 130898917 154775964 222282732 261797834 392696751 523595668 785393502 916292419 1570787004 1832584838 2748877257 3665169676 5497754514 10995509028 25263490981 50526981962 75790472943 101053963924 151580945886 176844436867 303161891772 353688873734 530533310601 707377747468 1061066621202 2122133242404