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2123001342 = 23272111271723
BaseRepresentation
bin111111010001010…
…0110110111111110
312110221210122100100
41332202212313332
513321442020332
6550355141530
7103416133200
oct17642466776
95427718310
102123001342
1199a419370
124b2ba48a6
1327aab2417
14161d56770
15c65ac67c
hex7e8a6dfe

2123001342 has 144 divisors (see below), whose sum is σ = 5886646272. Its totient is φ = 546769440.

The previous prime is 2123001323. The next prime is 2123001359. The reversal of 2123001342 is 2431003212.

2123001342 is a `hidden beast` number, since 21 + 2 + 300 + 1 + 342 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1231293 + ... + 1233015.

It is an arithmetic number, because the mean of its divisors is an integer number (40879488).

Almost surely, 22123001342 is an apocalyptic number.

2123001342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123001342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943323136).

2123001342 is an abundant number, since it is smaller than the sum of its proper divisors (3763644930).

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

2123001342 is a wasteful number, since it uses less digits than its factorization.

2123001342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2123001342 is about 46076.0386969192. The cubic root of 2123001342 is about 1285.2376012466.

Adding to 2123001342 its reverse (2431003212), we get a palindrome (4554004554).

The spelling of 2123001342 in words is "two billion, one hundred twenty-three million, one thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 63 66 77 98 99 126 127 147 154 198 231 254 294 381 441 462 539 693 762 882 889 1078 1143 1386 1397 1617 1723 1778 2286 2667 2794 3234 3446 4191 4851 5169 5334 6223 8001 8382 9702 9779 10338 12061 12446 12573 15507 16002 18669 18953 19558 24122 25146 29337 31014 36183 37338 37906 56007 56859 58674 68453 72366 84427 88011 108549 112014 113718 132671 136906 168854 170577 176022 205359 217098 218821 253281 265342 341154 398013 410718 437642 506562 616077 656463 759843 796026 928697 1194039 1232154 1312926 1519686 1531747 1857394 1969389 2388078 2407031 2786091 3063494 3938778 4595241 4814062 5572182 7221093 8358273 9190482 10722229 13785723 14442186 16716546 16849217 21444458 21663279 27571446 32166687 33698434 43326558 50547651 64333374 96500061 101095302 117944519 151642953 193000122 235889038 303285906 353833557 707667114 1061500671 2123001342