Search a number
-
+
10243423401200 = 2452116073835339
BaseRepresentation
bin1001010100001111101110…
…0111001111010011110000
31100021021001210022021102022
42111003323213033103300
52320312012342314300
633441432545211012
72105030403202523
oct225037347172360
940237053267368
1010243423401200
11329a236512250
1211952b1930a68
13593c48857322
14275ada31abba
1512b6c56ca285
hex950fb9cf4f0

10243423401200 has 120 divisors (see below), whose sum is σ = 26891317655040. Its totient is φ = 3718743724800.

The previous prime is 10243423401187. The next prime is 10243423401229. The reversal of 10243423401200 is 210432434201.

It is a super-2 number, since 2×102434234012002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10243423401200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 753131 + ... + 4588469.

It is an arithmetic number, because the mean of its divisors is an integer number (224094313792).

Almost surely, 210243423401200 is an apocalyptic number.

10243423401200 is a gapful number since it is divisible by the number (10) 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 10243423401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13445658827520).

10243423401200 is an abundant number, since it is smaller than the sum of its proper divisors (16647894253840).

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

10243423401200 is a wasteful number, since it uses less digits than its factorization.

10243423401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835975 (or 3835964 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10243423401200 its reverse (210432434201), we get a palindrome (10453855835401).

The spelling of 10243423401200 in words is "ten trillion, two hundred forty-three billion, four hundred twenty-three million, four hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 607 880 1100 1214 2200 2428 3035 4400 4856 6070 6677 9712 12140 13354 15175 24280 26708 30350 33385 48560 53416 60700 66770 106832 121400 133540 166925 242800 267080 333850 534160 667700 1335400 2670800 3835339 7670678 15341356 19176695 30682712 38353390 42188729 61365424 76706780 84377458 95883475 153413560 168754916 191766950 210943645 306827120 337509832 383533900 421887290 675019664 767067800 843774580 1054718225 1534135600 1687549160 2109436450 2328050773 3375098320 4218872900 4656101546 8437745800 9312203092 11640253865 16875491600 18624406184 23280507730 25608558503 37248812368 46561015460 51217117006 58201269325 93122030920 102434234012 116402538650 128042792515 186244061840 204868468024 232805077300 256085585030 409736936048 465610154600 512171170060 640213962575 931220309200 1024342340120 1280427925150 2048684680240 2560855850300 5121711700600 10243423401200