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13223330010 = 23251123895591
BaseRepresentation
bin11000101000010110…
…00000000011011010
31021010120000202122100
430110023000003122
5204040133030020
610024045504230
7645454310352
oct142413000332
937116022570
1013223330010
115676252610
122690572076
131329737037
148d62a1b62
15525d68a90
hex3142c00da

13223330010 has 96 divisors (see below), whose sum is σ = 37528583040. Its totient is φ = 3203740800.

The previous prime is 13223329981. The next prime is 13223330017. The reversal of 13223330010 is 1003332231.

13223330010 is a `hidden beast` number, since 1 + 322 + 3 + 330 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13223330017) 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, 2362315 + ... + 2367905.

It is an arithmetic number, because the mean of its divisors is an integer number (390922740).

Almost surely, 213223330010 is an apocalyptic number.

13223330010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13223330010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18764291520).

13223330010 is an abundant number, since it is smaller than the sum of its proper divisors (24305253030).

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

13223330010 is a wasteful number, since it uses less digits than its factorization.

13223330010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8004 (or 8001 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13223330010 its reverse (1003332231), we get a palindrome (14226662241).

The spelling of 13223330010 in words is "thirteen billion, two hundred twenty-three million, three hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2389 4778 5591 7167 11182 11945 14334 16773 21501 23890 26279 27955 33546 35835 43002 50319 52558 55910 61501 71670 78837 83865 100638 107505 123002 131395 157674 167730 184503 215010 236511 251595 262790 307505 369006 394185 473022 503190 553509 615010 788370 922515 1107018 1182555 1845030 2365110 2767545 5535090 13356899 26713798 40070697 66784495 80141394 120212091 133568990 146925889 200353485 240424182 293851778 400706970 440777667 601060455 734629445 881555334 1202120910 1322333001 1469258890 2203888335 2644666002 4407776670 6611665005 13223330010