Search a number
-
+
23332110313300 = 22524125312248423
BaseRepresentation
bin1010100111000011011100…
…01001011010011101010100
310001121112020212212201211221
411103201232021122131110
511024233130220011200
6121342342402140124
74625455305250165
oct523415611323524
9101545225781757
1023332110313300
117486102006718
122749b04651644
131003293296809
145a93ccab376c
152a6dc5cb591a
hex15386e25a754

23332110313300 has 72 divisors (see below), whose sum is σ = 51886089202752. Its totient is φ = 9101612256000.

The previous prime is 23332110313271. The next prime is 23332110313307. The reversal of 23332110313300 is 331301123332.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23332110313307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9252889 + ... + 11501311.

It is an arithmetic number, because the mean of its divisors is an integer number (720640127816).

Almost surely, 223332110313300 is an apocalyptic number.

23332110313300 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 23332110313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25943044601376).

23332110313300 is an abundant number, since it is smaller than the sum of its proper divisors (28553978889452).

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

23332110313300 is a wasteful number, since it uses less digits than its factorization.

23332110313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251009 (or 2251002 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 23332110313300 its reverse (331301123332), we get a palindrome (23663411436632).

The spelling of 23332110313300 in words is "twenty-three trillion, three hundred thirty-two billion, one hundred ten million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 2531 4100 5062 10124 12655 25310 50620 63275 103771 126550 207542 253100 415084 518855 1037710 2075420 2248423 2594275 4496846 5188550 8993692 10377100 11242115 22484230 44968460 56210575 92185343 112421150 184370686 224842300 368741372 460926715 921853430 1843706860 2304633575 4609267150 5690758613 9218534300 11381517226 22763034452 28453793065 56907586130 113815172260 142268965325 233321103133 284537930650 466642206266 569075861300 933284412532 1166605515665 2333211031330 4666422062660 5833027578325 11666055156650 23332110313300