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10223330030100 = 223252112237461627
BaseRepresentation
bin1001010011000100110111…
…1101000111001000010100
31100012100012110002021002200
42110301031331013020110
52314444334441430400
633424311042404500
72103416435312625
oct224611575071024
940170173067080
1010223330030100
11329176530a130
121191424660730
13592095a1a225
14274b5188ba4c
1512adeb668b00
hex94c4df47214

10223330030100 has 216 divisors, whose sum is σ = 34973295503328. Its totient is φ = 2477269766400.

The previous prime is 10223330030099. The next prime is 10223330030117. The reversal of 10223330030100 is 103003332201.

10223330030100 is a `hidden beast` number, since 1 + 0 + 2 + 233 + 300 + 30 + 100 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21915487 + ... + 22377113.

It is an arithmetic number, because the mean of its divisors is an integer number (161913405108).

Almost surely, 210223330030100 is an apocalyptic number.

10223330030100 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 10223330030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17486647751664).

10223330030100 is an abundant number, since it is smaller than the sum of its proper divisors (24749965473228).

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

10223330030100 is a wasteful number, since it uses less digits than its factorization.

10223330030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463895 (or 463885 counting only the distinct ones).

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

Adding to 10223330030100 its reverse (103003332201), we get a palindrome (10326333362301).

The spelling of 10223330030100 in words is "ten trillion, two hundred twenty-three billion, three hundred thirty million, thirty thousand, one hundred".