Search a number
-
+
23313331101000 = 2335329267969323
BaseRepresentation
bin1010100110100000011101…
…10100011001110101001000
310001112201210010110220111110
411103100032310121311020
511023431200230213000
6121325555122330320
74624222035501123
oct523201664316510
9101481703426443
1023313331101000
1174791456a1556
1227463434b99a0
13100158c7b1185
145a852a9ad3ba
152a66772de850
hex15340ed19d48

23313331101000 has 128 divisors (see below), whose sum is σ = 75245786179200. Its totient is φ = 6002512812800.

The previous prime is 23313331100989. The next prime is 23313331101023. The reversal of 23313331101000 is 10113331332.

It is a super-2 number, since 2×233133311010002 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133897662 + ... + 134071661.

It is an arithmetic number, because the mean of its divisors is an integer number (587857704525).

Almost surely, 223313331101000 is an apocalyptic number.

23313331101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23313331101000 is an abundant number, since it is smaller than the sum of its proper divisors (51932455078200).

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

23313331101000 is a wasteful number, since it uses less digits than its factorization.

23313331101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267969376 (or 267969362 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 23313331101000 its reverse (10113331332), we get a palindrome (23323444432332).

The spelling of 23313331101000 in words is "twenty-three trillion, three hundred thirteen billion, three hundred thirty-one million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 580 600 696 725 750 870 1000 1160 1450 1500 1740 2175 2900 3000 3480 3625 4350 5800 7250 8700 10875 14500 17400 21750 29000 43500 87000 267969323 535938646 803907969 1071877292 1339846615 1607815938 2143754584 2679693230 3215631876 4019539845 5359386460 6431263752 6699233075 7771110367 8039079690 10718772920 13398466150 15542220734 16078159380 20097699225 23313331101 26796932300 31084441468 32156318760 33496165375 38855551835 40195398450 46626662202 53593864600 62168882936 66992330750 77711103670 80390796900 93253324404 100488496125 116566655505 133984661500 155422207340 160781593800 186506648808 194277759175 200976992250 233133311010 267969323000 310844414680 388555518350 401953984500 466266622020 582833277525 777111036700 803907969000 932533244040 971388795875 1165666555050 1554222073400 1942777591750 2331333110100 2914166387625 3885555183500 4662666220200 5828332775250 7771110367000 11656665550500 23313331101000