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2123082024 = 233779347461
BaseRepresentation
bin111111010001011…
…1010100100101000
312110221221202000120
41332202322210220
513322002111044
6550401003240
7103416620340
oct17642724450
95427852016
102123082024
1199a473a48
124b3023520
1327ab1006b
14161d77d20
15c65c6519
hex7e8ba928

2123082024 has 128 divisors (see below), whose sum is σ = 6173798400. Its totient is φ = 595895040.

The previous prime is 2123082011. The next prime is 2123082067. The reversal of 2123082024 is 4202803212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2123081985 and 2123082003.

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, 4605154 + ... + 4605614.

It is an arithmetic number, because the mean of its divisors is an integer number (48232800).

Almost surely, 22123082024 is an apocalyptic number.

2123082024 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 2123082024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086899200).

2123082024 is an abundant number, since it is smaller than the sum of its proper divisors (4050716376).

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

2123082024 is a wasteful number, since it uses less digits than its factorization.

2123082024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2123082024 is about 46076.9142195959. The cubic root of 2123082024 is about 1285.2538823207.

Adding to 2123082024 its reverse (4202803212), we get a palindrome (6325885236).

The spelling of 2123082024 in words is "two billion, one hundred twenty-three million, eighty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 347 461 474 553 632 694 922 948 1041 1106 1383 1388 1659 1844 1896 2082 2212 2429 2766 2776 3227 3318 3688 4164 4424 4858 5532 6454 6636 7287 8328 9681 9716 11064 12908 13272 14574 19362 19432 25816 27413 29148 36419 38724 54826 58296 72838 77448 82239 109257 109652 145676 159967 164478 191891 218514 219304 254933 291352 319934 328956 383782 437028 479901 509866 575673 639868 657912 764799 767564 874056 959802 1019732 1119769 1151346 1279736 1529598 1535128 1919604 2039464 2239538 2302692 3059196 3359307 3839208 4479076 4605384 6118392 6718614 8958152 12637393 13437228 25274786 26874456 37912179 50549572 75824358 88461751 101099144 151648716 176923502 265385253 303297432 353847004 530770506 707694008 1061541012 2123082024