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23320130011300 = 22526118131766629
BaseRepresentation
bin1010100110101101001000…
…00100001100000010100100
310001120101022221211100002001
411103112210010030002210
511024034111240330200
6121333041514455044
74624552363334053
oct523264404140244
9101511287740061
1023320130011300
117481014489491
122747720434484
13100210423ab15
145a89b394239a
152a692413676a
hex1535a410c0a4

23320130011300 has 144 divisors (see below), whose sum is σ = 51882362597520. Its totient is φ = 9095521536000.

The previous prime is 23320130011267. The next prime is 23320130011313. The reversal of 23320130011300 is 311003102332.

It can be written as a sum of positive squares in 24 ways, for example, as 19665464299776 + 3654665711524 = 4434576^2 + 1911718^2 .

It is a super-3 number, since 3×233201300113003 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 349966386 + ... + 350033014.

It is an arithmetic number, because the mean of its divisors is an integer number (360294184705).

Almost surely, 223320130011300 is an apocalyptic number.

23320130011300 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 23320130011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25941181298760).

23320130011300 is an abundant number, since it is smaller than the sum of its proper divisors (28562232586220).

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

23320130011300 is a wasteful number, since it uses less digits than its factorization.

23320130011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67202 (or 67195 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 23320130011300 its reverse (311003102332), we get a palindrome (23631133113632).

The spelling of 23320130011300 in words is "twenty-three trillion, three hundred twenty billion, one hundred thirty million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 181 244 305 317 362 610 634 724 905 1220 1268 1525 1585 1810 3050 3170 3620 4525 6100 6340 7925 9050 11041 15850 18100 19337 22082 31700 38674 44164 55205 57377 66629 77348 96685 110410 114754 133258 193370 220820 229508 266516 276025 286885 333145 386740 483425 552050 573770 666290 966850 1104100 1147540 1332580 1434425 1665725 1933700 2868850 3331450 3499997 4064369 5737700 6662900 6999994 8128738 12059849 13999988 16257476 17499985 20321845 21121393 24119698 34999970 40643690 42242786 48239396 60299245 69999940 81287380 84485572 87499925 101609225 105606965 120598490 174999850 203218450 211213930 241196980 301496225 349999700 406436900 422427860 528034825 602992450 735650789 1056069650 1205984900 1288404973 1471301578 2112139300 2576809946 2942603156 3678253945 3822972133 5153619892 6442024865 7356507890 7645944266 12884049730 14713015780 15291888532 18391269725 19114860665 25768099460 32210124325 36782539450 38229721330 64420248650 73565078900 76459442660 95574303325 128840497300 191148606650 233201300113 382297213300 466402600226 932805200452 1166006500565 2332013001130 4664026002260 5830032502825 11660065005650 23320130011300