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2121423024 = 243779229349
BaseRepresentation
bin111111001110010…
…0101100010110000
312110211211110022010
41332130211202300
513321041014044
6550301242520
7103366540530
oct17634454260
95424743263
102121423024
11999540576
124b2563440
1327a67bbc6
14161a654c0
15c6399bb9
hex7e7258b0

2121423024 has 160 divisors (see below), whose sum is σ = 6388480000. Its totient is φ = 594127872.

The previous prime is 2121422999. The next prime is 2121423043. The reversal of 2121423024 is 4203241212.

2121423024 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 6078402 + ... + 6078750.

It is an arithmetic number, because the mean of its divisors is an integer number (39928000).

Almost surely, 22121423024 is an apocalyptic number.

2121423024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121423024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194240000).

2121423024 is an abundant number, since it is smaller than the sum of its proper divisors (4267056976).

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

2121423024 is a wasteful number, since it uses less digits than its factorization.

2121423024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2121423024 is about 46058.9081937468. The cubic root of 2121423024 is about 1284.9190245067.

Adding to 2121423024 its reverse (4203241212), we get a palindrome (6324664236).

The spelling of 2121423024 in words is "two billion, one hundred twenty-one million, four hundred twenty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 229 237 316 336 349 458 474 553 632 687 698 916 948 1047 1106 1264 1374 1396 1603 1659 1832 1896 2094 2212 2443 2748 2792 3206 3318 3664 3792 4188 4424 4809 4886 5496 5584 6412 6636 7329 8376 8848 9618 9772 10992 12824 13272 14658 16752 18091 19236 19544 25648 26544 27571 29316 36182 38472 39088 54273 55142 58632 72364 76944 79921 82713 108546 110284 117264 126637 144728 159842 165426 192997 217092 220568 239763 253274 289456 319684 330852 379911 385994 434184 441136 479526 506548 559447 578991 639368 661704 759822 771988 868368 959052 1013096 1118894 1157982 1278736 1323408 1519644 1543976 1678341 1918104 2026192 2237788 2315964 3039288 3087952 3356682 3836208 4475576 4631928 6078576 6313759 6713364 8951152 9263856 12627518 13426728 18941277 25255036 26853456 37882554 44196313 50510072 75765108 88392626 101020144 132588939 151530216 176785252 265177878 303060432 353570504 530355756 707141008 1060711512 2121423024