Search a number
-
+
2120121124 = 2211316183307
BaseRepresentation
bin111111001011110…
…0111101100100100
312110202101022102121
41332113213230210
513320222333444
6550213315324
7103352506102
oct17627475444
95422338377
102120121124
11998831420
124b2035b44
1327a314454
14161806c72
15c61de084
hex7e5e7b24

2120121124 has 96 divisors (see below), whose sum is σ = 4311724032. Its totient is φ = 903312000.

The previous prime is 2120121097. The next prime is 2120121139. The reversal of 2120121124 is 4211210212.

It is a junction number, because it is equal to n+sod(n) for n = 2120121098 and 2120121107.

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 31 ways as a sum of consecutive naturals, for example, 6905779 + ... + 6906085.

It is an arithmetic number, because the mean of its divisors is an integer number (44913792).

Almost surely, 22120121124 is an apocalyptic number.

It is an amenable number.

2120121124 is an abundant number, since it is smaller than the sum of its proper divisors (2191602908).

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

2120121124 is a wasteful number, since it uses less digits than its factorization.

2120121124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2120121124 is about 46044.7730366868. The cubic root of 2120121124 is about 1284.6561226121.

Adding to 2120121124 its reverse (4211210212), we get a palindrome (6331331336).

The spelling of 2120121124 in words is "two billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 31 44 61 62 83 122 124 166 244 307 332 341 614 671 682 913 1228 1342 1364 1826 1891 2573 2684 3377 3652 3782 5063 5146 6754 7564 9517 10126 10292 13508 18727 19034 20252 20801 25481 28303 37454 38068 41602 50962 55693 56606 74908 83204 101924 104687 111386 113212 156953 205997 209374 222772 280291 313906 411994 418748 560582 580537 627812 789911 823988 1121164 1161074 1554341 1579822 1726483 2322148 3108682 3159644 3452966 6217364 6385907 6905932 8689021 12771814 17097751 17378042 25543628 34195502 34756084 48184571 68391004 96369142 192738284 530030281 1060060562 2120121124