Search a number
-
+
23011251200 = 210527128411
BaseRepresentation
bin10101011011100100…
…111101010000000000
32012101200201200022222
4111123210331100000
5334111340014300
614323214550212
71443145256630
oct253344752000
965350650288
1023011251200
119839284683
124562508368
1322294cb392
1411841ba6c0
158ea2d3785
hex55b93d400

23011251200 has 132 divisors (see below), whose sum is σ = 65189122272. Its totient is φ = 7889510400.

The previous prime is 23011251199. The next prime is 23011251223. The reversal of 23011251200 is 215211032.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114995 + ... + 243405.

Almost surely, 223011251200 is an apocalyptic number.

23011251200 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 23011251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32594561136).

23011251200 is an abundant number, since it is smaller than the sum of its proper divisors (42177871072).

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

23011251200 is a wasteful number, since it uses less digits than its factorization.

23011251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128448 (or 128425 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 23011251200 its reverse (215211032), we get a palindrome (23226462232).

The spelling of 23011251200 in words is "twenty-three billion, eleven million, two hundred fifty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 512 560 640 700 800 896 1024 1120 1280 1400 1600 1792 2240 2560 2800 3200 3584 4480 5120 5600 6400 7168 8960 11200 12800 17920 22400 25600 35840 44800 89600 128411 179200 256822 513644 642055 898877 1027288 1284110 1797754 2054576 2568220 3210275 3595508 4109152 4494385 5136440 6420550 7191016 8218304 8988770 10272880 12841100 14382032 16436608 17977540 20545760 22471925 25682200 28764064 32873216 35955080 41091520 44943850 51364400 57528128 65746432 71910160 82183040 89887700 102728800 115056256 131492864 143820320 164366080 179775400 205457600 230112512 287640640 328732160 359550800 410915200 460225024 575281280 657464320 719101600 821830400 920450048 1150562560 1438203200 1643660800 2301125120 2876406400 3287321600 4602250240 5752812800 11505625600 23011251200