Search a number
-
+
2013424434100 = 225220134244341
BaseRepresentation
bin11101010011001001011…
…100101011101110110100
321010111000000021202120001
4131103021130223232310
5230441443123342400
64140542053121044
7265315351211632
oct35231134535664
97114000252501
102013424434100
1170698566a922
1228626b929184
13117b328510c1
146d643740352
153759181ca6a
hex1d4c972bbb4

2013424434100 has 18 divisors (see below), whose sum is σ = 4369131022214. Its totient is φ = 805369773600.

The previous prime is 2013424434067. The next prime is 2013424434169. The reversal of 2013424434100 is 14344243102.

It can be written as a sum of positive squares in 3 ways, for example, as 514866521764 + 1498557912336 = 717542^2 + 1224156^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10067122071 + ... + 10067122270.

Almost surely, 22013424434100 is an apocalyptic number.

2013424434100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013424434100 is an abundant number, since it is smaller than the sum of its proper divisors (2355706588114).

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

2013424434100 is a wasteful number, since it uses less digits than its factorization.

2013424434100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20134244355 (or 20134244348 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2013424434100 its reverse (14344243102), we get a palindrome (2027768677202).

The spelling of 2013424434100 in words is "two trillion, thirteen billion, four hundred twenty-four million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20134244341 40268488682 80536977364 100671221705 201342443410 402684886820 503356108525 1006712217050 2013424434100