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2100413242401 = 32343370302013
BaseRepresentation
bin11110100100001010011…
…000101001110000100001
321102210112102002002012220
4132210022120221300201
5233403121242224101
64244525545141253
7304515124660635
oct36441230516041
97383472062186
102100413242401
1173a864577031
1229b0a818a829
131230b6870a36
1473936760dc5
1539983644636
hex1e90a629c21

2100413242401 has 16 divisors (see below), whose sum is σ = 2929063111296. Its totient is φ = 1336300644096.

The previous prime is 2100413242381. The next prime is 2100413242409. The reversal of 2100413242401 is 1042423140012.

It is not a de Polignac number, because 2100413242401 - 26 = 2100413242337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2100413242409) 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 15 ways as a sum of consecutive naturals, for example, 35121130 + ... + 35180883.

It is an arithmetic number, because the mean of its divisors is an integer number (183066444456).

Almost surely, 22100413242401 is an apocalyptic number.

It is an amenable number.

2100413242401 is a deficient number, since it is larger than the sum of its proper divisors (828649868895).

2100413242401 is a wasteful number, since it uses less digits than its factorization.

2100413242401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70302472.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2100413242401 its reverse (1042423140012), we get a palindrome (3142836382413).

The spelling of 2100413242401 in words is "two trillion, one hundred billion, four hundred thirteen million, two hundred forty-two thousand, four hundred one".

Divisors: 1 3 23 69 433 1299 9959 29877 70302013 210906039 1616946299 4850838897 30440771629 91322314887 700137747467 2100413242401