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10223110100232 = 23331947181292819
BaseRepresentation
bin1001010011000100000011…
…0110001001010100001000
31100012022122010020200001000
42110301000312021110020
52314443412141201412
633424233144455000
72103411125040651
oct224610066112410
940168563220030
1010223110100232
113291662154607
121191382a7a460
1359205c2a5703
14274b3059c528
1512add71c44dc
hex94c40d89508

10223110100232 has 256 divisors, whose sum is σ = 30696906240000. Its totient is φ = 3142194819840.

The previous prime is 10223110100227. The next prime is 10223110100263. The reversal of 10223110100232 is 23200101132201.

10223110100232 is a `hidden beast` number, since 1 + 0 + 22 + 311 + 0 + 100 + 232 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34766319 + ... + 35059137.

It is an arithmetic number, because the mean of its divisors is an integer number (119909790000).

Almost surely, 210223110100232 is an apocalyptic number.

10223110100232 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 10223110100232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348453120000).

10223110100232 is an abundant number, since it is smaller than the sum of its proper divisors (20473796139768).

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

10223110100232 is a wasteful number, since it uses less digits than its factorization.

10223110100232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293081 (or 293071 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10223110100232 its reverse (23200101132201), we get a palindrome (33423211232433).

The spelling of 10223110100232 in words is "ten trillion, two hundred twenty-three billion, one hundred ten million, one hundred thousand, two hundred thirty-two".