Search a number
-
+
23352312252300 = 223521077271000669
BaseRepresentation
bin1010100111101001000100…
…10001101100011110001100
310001200110101210101120022220
411103310202101230132030
511030101013414033200
6121355523143535340
74630102032015423
oct523644221543614
9101613353346286
1023352312252300
117493729522479
122751a0215a550
131005162757185
145aa387b242ba
152a76a96204a0
hex153d2246c78c

23352312252300 has 144 divisors (see below), whose sum is σ = 68291356573440. Its totient is φ = 6160592528640.

The previous prime is 23352312252287. The next prime is 23352312252301. The reversal of 23352312252300 is 325221325332.

It is not an unprimeable number, because it can be changed into a prime (23352312252301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22836366 + ... + 23837034.

It is an arithmetic number, because the mean of its divisors is an integer number (474245531760).

Almost surely, 223352312252300 is an apocalyptic number.

23352312252300 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 23352312252300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34145678286720).

23352312252300 is an abundant number, since it is smaller than the sum of its proper divisors (44939044321140).

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

23352312252300 is a wasteful number, since it uses less digits than its factorization.

23352312252300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001520 (or 1001513 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 33.

Adding to 23352312252300 its reverse (325221325332), we get a palindrome (23677533577632).

The spelling of 23352312252300 in words is "twenty-three trillion, three hundred fifty-two billion, three hundred twelve million, two hundred fifty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 300 321 428 535 642 727 1070 1284 1454 1605 2140 2181 2675 2908 3210 3635 4362 5350 6420 7270 8025 8724 10700 10905 14540 16050 18175 21810 32100 36350 43620 54525 72700 77789 109050 155578 218100 233367 311156 388945 466734 777890 933468 1000669 1166835 1555780 1944725 2001338 2333670 3002007 3889450 4002676 4667340 5003345 5834175 6004014 7778900 10006690 11668350 12008028 15010035 20013380 23336700 25016725 30020070 50033450 60040140 75050175 100066900 107071583 150100350 214143166 300200700 321214749 428286332 535357915 642429498 727486363 1070715830 1284858996 1454972726 1606073745 2141431660 2182459089 2676789575 2909945452 3212147490 3637431815 4364918178 5353579150 6424294980 7274863630 8030368725 8729836356 10707158300 10912295445 14549727260 16060737450 18187159075 21824590890 32121474900 36374318150 43649181780 54561477225 72748636300 77841040841 109122954450 155682081682 218245908900 233523122523 311364163364 389205204205 467046245046 778410408410 934092490092 1167615612615 1556820816820 1946026021025 2335231225230 3892052042050 4670462450460 5838078063075 7784104084100 11676156126150 23352312252300