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10223201203332 = 22313196217554789
BaseRepresentation
bin1001010011000100011001…
…0001101011010010000100
31100012022212110200011222220
42110301012101223102010
52314444104002001312
633424250201252340
72103413312306445
oct224610621532204
940168773604886
1010223201203332
1132916a9619727
1211913a94940b0
13592075122780
14274b3c7152cc
1512ade01bcc8c
hex94c4646b484

10223201203332 has 96 divisors (see below), whose sum is σ = 27045524284800. Its totient is φ = 2979557747712.

The previous prime is 10223201203309. The next prime is 10223201203367. The reversal of 10223201203332 is 23330210232201.

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 31 ways as a sum of consecutive naturals, for example, 18149794 + ... + 18704582.

It is an arithmetic number, because the mean of its divisors is an integer number (281724211300).

Almost surely, 210223201203332 is an apocalyptic number.

10223201203332 is a gapful number since it is divisible by the number (12) 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 10223201203332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13522762142400).

10223201203332 is an abundant number, since it is smaller than the sum of its proper divisors (16822323081468).

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

10223201203332 is a wasteful number, since it uses less digits than its factorization.

10223201203332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561045 (or 561043 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10223201203332 its reverse (23330210232201), we get a palindrome (33553411435533).

The spelling of 10223201203332 in words is "ten trillion, two hundred twenty-three billion, two hundred one million, two hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1482 2964 6217 12434 18651 24868 37302 74604 80821 118123 161642 236246 242463 323284 354369 472492 484926 554789 708738 969852 1109578 1417476 1535599 1664367 2219156 3071198 3328734 4606797 6142396 6657468 7212257 9213594 10540991 14424514 18427188 21081982 21636771 28849028 31622973 42163964 43273542 63245946 86547084 126491892 137032883 274065766 411098649 548131532 822197298 1644394596 3449123213 6898246426 10347369639 13796492852 20694739278 41389478556 44838601769 65533341047 89677203538 131066682094 134515805307 179354407076 196600023141 262133364188 269031610614 393200046282 538063221228 786400092564 851933433611 1703866867222 2555800300833 3407733734444 5111600601666 10223201203332