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2100424013 = 5935600407
BaseRepresentation
bin111110100110001…
…1110110101001101
312102101022121001222
41331030132311031
513300202032023
6544231213125
7103023211112
oct17514366515
95371277058
102100424013
119886a8716
124a75171a5
13276208b5c
1415cd5a909
15c45eccc8
hex7d31ed4d

2100424013 has 4 divisors (see below), whose sum is σ = 2136024480. Its totient is φ = 2064823548.

The previous prime is 2100423971. The next prime is 2100424033. The reversal of 2100424013 is 3104240012.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 2100424013 - 226 = 2033315149 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100423982 and 2100424000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100424033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17800145 + ... + 17800262.

It is an arithmetic number, because the mean of its divisors is an integer number (534006120).

Almost surely, 22100424013 is an apocalyptic number.

It is an amenable number.

2100424013 is a deficient number, since it is larger than the sum of its proper divisors (35600467).

2100424013 is an equidigital number, since it uses as much as digits as its factorization.

2100424013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35600466.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2100424013 is about 45830.3830771684. The cubic root of 2100424013 is about 1280.6653468403.

Adding to 2100424013 its reverse (3104240012), we get a palindrome (5204664025).

The spelling of 2100424013 in words is "two billion, one hundred million, four hundred twenty-four thousand, thirteen".

Divisors: 1 59 35600407 2100424013