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412100013 = 313103173593
BaseRepresentation
bin11000100100000…
…010010110101101
31001201102211221110
4120210002112231
51320444200023
6104520422233
713132535523
oct3044022655
91051384843
10412100013
111a168a926
12b6017979
13674b9c80
143ca34313
15262a3a93
hex189025ad

412100013 has 32 divisors (see below), whose sum is σ = 601945344. Its totient is φ = 249265152.

The previous prime is 412099999. The next prime is 412100021. The reversal of 412100013 is 310001214.

It is a happy number.

It is not a de Polignac number, because 412100013 - 25 = 412099981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412100053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694645 + ... + 695237.

It is an arithmetic number, because the mean of its divisors is an integer number (18810792).

Almost surely, 2412100013 is an apocalyptic number.

It is an amenable number.

412100013 is a deficient number, since it is larger than the sum of its proper divisors (189845331).

412100013 is a wasteful number, since it uses less digits than its factorization.

412100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 412100013 is about 20300.2466241176. The cubic root of 412100013 is about 744.1620914466.

Adding to 412100013 its reverse (310001214), we get a palindrome (722101227).

The spelling of 412100013 in words is "four hundred twelve million, one hundred thousand, thirteen".

Divisors: 1 3 13 39 103 173 309 519 593 1339 1779 2249 4017 6747 7709 17819 23127 53457 61079 102589 183237 231647 307767 694941 794027 1333657 2382081 4000971 10566667 31700001 137366671 412100013