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10411000100 = 2252104110001
BaseRepresentation
bin10011011001000101…
…10100000100100100
3222212120010121021022
421230202310010210
5132310204000400
64441023510312
7515665016654
oct115442640444
928776117238
1010411000100
114462813516
122026758398
13c9bbb08b7
1470a98c364
1540dee5b85
hex26c8b4124

10411000100 has 18 divisors (see below), whose sum is σ = 22591870434. Its totient is φ = 4164400000.

The previous prime is 10411000099. The next prime is 10411000123. The reversal of 10411000100 is 100011401.

It can be written as a sum of positive squares in 3 ways, for example, as 578691136 + 9832308964 = 24056^2 + 99158^2 .

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 5 ways as a sum of consecutive naturals, for example, 52054901 + ... + 52055100.

It is an arithmetic number, because the mean of its divisors is an integer number (1255103913).

Almost surely, 210411000100 is an apocalyptic number.

10411000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10411000100 is an abundant number, since it is smaller than the sum of its proper divisors (12180870334).

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

10411000100 is a wasteful number, since it uses less digits than its factorization.

10411000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104110015 (or 104110008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10411000100 its reverse (100011401), we get a palindrome (10511011501).

The spelling of 10411000100 in words is "ten billion, four hundred eleven million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 104110001 208220002 416440004 520550005 1041100010 2082200020 2602750025 5205500050 10411000100