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10023223100000 = 25551116754563
BaseRepresentation
bin1001000111011011011010…
…1001110000001001100000
31022111012200122120222002012
42101312312221300021200
52303210030103200000
633152334412412052
72053103545421225
oct221666651601140
938435618528065
1010023223100000
113214909153850
12115a699177028
135792554cc106
142691ab4d394c
15125ad8b21735
hex91db6a70260

10023223100000 has 288 divisors, whose sum is σ = 27068831983872. Its totient is φ = 3622916800000.

The previous prime is 10023223099997. The next prime is 10023223100017. The reversal of 10023223100000 is 132232001.

It is a happy number.

It is a super-2 number, since 2×100232231000002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183672719 + ... + 183727281.

It is an arithmetic number, because the mean of its divisors is an integer number (93988999944).

Almost surely, 210023223100000 is an apocalyptic number.

10023223100000 is a gapful number since it is divisible by the number (10) 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 10023223100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13534415991936).

10023223100000 is an abundant number, since it is smaller than the sum of its proper divisors (17045608883872).

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

10023223100000 is an equidigital number, since it uses as much as digits as its factorization.

10023223100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54776 (or 54748 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10023223100000 its reverse (132232001), we get a palindrome (10023355332001).

It can be divided in two parts, 100232 and 23100000, that added together give a palindrome (23200232).

The spelling of 10023223100000 in words is "ten trillion, twenty-three billion, two hundred twenty-three million, one hundred thousand".