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2123012340 = 2232543594649
BaseRepresentation
bin111111010001010…
…1001100011110100
312110221211012102200
41332202221203310
513321442343330
6550355304500
7103416210231
oct17642514364
95427735380
102123012340
1199a426659
124b2bab130
1327aab7427
14161d5a788
15c65b0a60
hex7e8a98f4

2123012340 has 144 divisors (see below), whose sum is σ = 6702696000. Its totient is φ = 543481344.

The previous prime is 2123012327. The next prime is 2123012351. The reversal of 2123012340 is 432103212.

2123012340 is a `hidden beast` number, since 21 + 2 + 301 + 2 + 340 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454336 + ... + 458984.

It is an arithmetic number, because the mean of its divisors is an integer number (46546500).

Almost surely, 22123012340 is an apocalyptic number.

2123012340 is a gapful number since it is divisible by the number (20) 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 2123012340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351348000).

2123012340 is an abundant number, since it is smaller than the sum of its proper divisors (4579683660).

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

2123012340 is a wasteful number, since it uses less digits than its factorization.

2123012340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 4761 counting only the distinct ones).

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

The square root of 2123012340 is about 46076.1580429619. The cubic root of 2123012340 is about 1285.2398205918.

Adding to 2123012340 its reverse (432103212), we get a palindrome (2555115552).

The spelling of 2123012340 in words is "two billion, one hundred twenty-three million, twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 59 60 86 90 118 129 172 177 180 215 236 258 295 354 387 430 516 531 590 645 708 774 860 885 1062 1180 1290 1548 1770 1935 2124 2537 2580 2655 3540 3870 4649 5074 5310 7611 7740 9298 10148 10620 12685 13947 15222 18596 22833 23245 25370 27894 30444 38055 41841 45666 46490 50740 55788 69735 76110 83682 91332 92980 114165 139470 152220 167364 199907 209205 228330 274291 278940 399814 418410 456660 548582 599721 799628 822873 836820 999535 1097164 1199442 1371455 1645746 1799163 1999070 2398884 2468619 2742910 2998605 3291492 3598326 3998140 4114365 4937238 5485820 5997210 7196652 8228730 8995815 9874476 11794513 11994420 12343095 16457460 17991630 23589026 24686190 35383539 35983260 47178052 49372380 58972565 70767078 106150617 117945130 141534156 176917695 212301234 235890260 353835390 424602468 530753085 707670780 1061506170 2123012340