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23323320010000 = 24544215539981
BaseRepresentation
bin1010100110110011000100…
…01101000100010100010000
310001120200120021101001122001
411103121202031010110100
511024112124410310000
6121334330231323344
74625024420020603
oct523314215042420
9101520507331561
1023323320010000
11748240112074a
122748270820554
1310024c20b730a
145a8bd748633a
152a6a5e20b46a
hex153662344510

23323320010000 has 100 divisors (see below), whose sum is σ = 56602228773244. Its totient is φ = 9307166400000.

The previous prime is 23323320009989. The next prime is 23323320010073. The reversal of 23323320010000 is 1002332332.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 22025825876224 + 1297494133776 = 4693168^2 + 1139076^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 23323320010000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1440010 + ... + 6979990.

Almost surely, 223323320010000 is an apocalyptic number.

23323320010000 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 23323320010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28301114386622).

23323320010000 is an abundant number, since it is smaller than the sum of its proper divisors (33278908763244).

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

23323320010000 is an equidigital number, since it uses as much as digits as its factorization.

23323320010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540430 (or 5540409 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 23323320010000 its reverse (1002332332), we get a palindrome (23324322342332).

The spelling of 23323320010000 in words is "twenty-three trillion, three hundred twenty-three billion, three hundred twenty million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 421 500 625 842 1000 1250 1684 2000 2105 2500 3368 4210 5000 6736 8420 10000 10525 16840 21050 33680 42100 52625 84200 105250 168400 210500 263125 421000 526250 842000 1052500 2105000 4210000 5539981 11079962 22159924 27699905 44319848 55399810 88639696 110799620 138499525 221599240 276999050 443198480 553998100 692497625 1107996200 1384995250 2215992400 2332332001 2769990500 3462488125 4664664002 5539981000 6924976250 9329328004 11079962000 11661660005 13849952500 18658656008 23323320010 27699905000 37317312016 46646640020 55399810000 58308300025 93293280040 116616600050 186586560080 233233200100 291541500125 466466400200 583083000250 932932800400 1166166000500 1457707500625 2332332001000 2915415001250 4664664002000 5830830002500 11661660005000 23323320010000