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10012130100 = 22325272277001
BaseRepresentation
bin10010101001100010…
…01111101100110100
3221211202120220111100
421110301033230310
5131001101130400
64333254410100
7503052462450
oct112461175464
927752526440
1010012130100
11427864a595
121b35060930
13c3737674b
146ad9dd660
153d8ea7100
hex254c4fb34

10012130100 has 216 divisors, whose sum is σ = 36028819008. Its totient is φ = 2278080000.

The previous prime is 10012130057. The next prime is 10012130113. The reversal of 10012130100 is 103121001.

10012130100 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 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 71 ways as a sum of consecutive naturals, for example, 1426600 + ... + 1433600.

It is an arithmetic number, because the mean of its divisors is an integer number (166800088).

Almost surely, 210012130100 is an apocalyptic number.

10012130100 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 10012130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18014409504).

10012130100 is an abundant number, since it is smaller than the sum of its proper divisors (26016688908).

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

10012130100 is a wasteful number, since it uses less digits than its factorization.

10012130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7255 (or 7245 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10012130100 its reverse (103121001), we get a palindrome (10115251101).

Subtracting from 10012130100 its reverse (103121001), we obtain a palindrome (9909009099).

The spelling of 10012130100 in words is "ten billion, twelve million, one hundred thirty thousand, one hundred".