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2143021104 = 243373312141
BaseRepresentation
bin111111110111011…
…1110100000110000
312112100110202022000
41333232332200300
513342103133404
6552352214000
7104051243640
oct17756764060
95470422260
102143021104
119aa752524
124b983a300
13281ca1833
14164888520
15c8214339
hex7fbbe830

2143021104 has 160 divisors (see below), whose sum is σ = 7054548480. Its totient is φ = 610156800.

The previous prime is 2143021061. The next prime is 2143021109. The reversal of 2143021104 is 4011203412.

2143021104 is a `hidden beast` number, since 21 + 430 + 211 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2143021109) by changing a digit.

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, 999874 + ... + 1002014.

It is an arithmetic number, because the mean of its divisors is an integer number (44090928).

Almost surely, 22143021104 is an apocalyptic number.

2143021104 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 2143021104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527274240).

2143021104 is an abundant number, since it is smaller than the sum of its proper divisors (4911527376).

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

2143021104 is a wasteful number, since it uses less digits than its factorization.

2143021104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2143021104 is about 46292.7759375045. The cubic root of 2143021104 is about 1289.2648704985.

Adding to 2143021104 its reverse (4011203412), we get a palindrome (6154224516).

The spelling of 2143021104 in words is "two billion, one hundred forty-three million, twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 331 336 378 432 504 662 756 993 1008 1324 1512 1986 2141 2317 2648 2979 3024 3972 4282 4634 5296 5958 6423 6951 7944 8564 8937 9268 11916 12846 13902 14987 15888 17128 17874 18536 19269 20853 23832 25692 27804 29974 34256 35748 37072 38538 41706 44961 47664 51384 55608 57807 59948 62559 71496 77076 83412 89922 102768 111216 115614 119896 125118 134883 142992 154152 166824 179844 231228 239792 250236 269766 308304 333648 359688 404649 462456 500472 539532 708671 719376 809298 924912 1000944 1079064 1417342 1618596 2126013 2158128 2834684 3237192 4252026 4960697 5669368 6378039 6474384 8504052 9921394 11338736 12756078 14882091 17008104 19134117 19842788 25512156 29764182 34016208 38268234 39685576 44646273 51024312 59528364 76536468 79371152 89292546 102048624 119056728 133938819 153072936 178585092 238113456 267877638 306145872 357170184 535755276 714340368 1071510552 2143021104