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10100300100 = 223521117435379
BaseRepresentation
bin10010110100000011…
…00101100101000100
3222001220111101222220
421122001211211010
5131141134100400
64350124252340
7505203064032
oct113201454504
928056441886
1010100300100
1143133a0a60
121b5a6a10b0
13c4c707747
146bb5d1552
153e1ac17a0
hex25a065944

10100300100 has 576 divisors, whose sum is σ = 35637719040. Its totient is φ = 2180505600.

The previous prime is 10100300069. The next prime is 10100300149. The reversal of 10100300100 is 100300101.

It is a super-2 number, since 2×101003001002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127851861 + ... + 127851939.

It is an arithmetic number, because the mean of its divisors is an integer number (61871040).

Almost surely, 210100300100 is an apocalyptic number.

10100300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100300100 is the 53720-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17818859520).

10100300100 is an abundant number, since it is smaller than the sum of its proper divisors (25537418940).

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

10100300100 is a wasteful number, since it uses less digits than its factorization.

10100300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 10100300100 its reverse (100300101), we get a palindrome (10200600201).

Subtracting from 10100300100 its reverse (100300101), we obtain a palindrome (9999999999).

The spelling of 10100300100 in words is "ten billion, one hundred million, three hundred thousand, one hundred".