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10010222100 = 223252671091523
BaseRepresentation
bin10010101001010011…
…11101111000010100
3221211121222222012200
421110221331320110
5131000104101400
64333145444500
7503030324664
oct112451757024
927747888180
1010010222100
11427756702a
121b344a0730
13c36b59158
146ad6641a4
153d8c2bb00
hex254a7de14

10010222100 has 216 divisors, whose sum is σ = 32158045920. Its totient is φ = 2603715840.

The previous prime is 10010222087. The next prime is 10010222107. The reversal of 10010222100 is 122201001.

10010222100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010222107) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 6571939 + ... + 6573461.

Almost surely, 210010222100 is an apocalyptic number.

10010222100 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 10010222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16079022960).

10010222100 is an abundant number, since it is smaller than the sum of its proper divisors (22147823820).

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

10010222100 is a wasteful number, since it uses less digits than its factorization.

10010222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10010222100 its reverse (122201001), we get a palindrome (10132423101).

The spelling of 10010222100 in words is "ten billion, ten million, two hundred twenty-two thousand, one hundred".