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20331414100 = 2252203314141
BaseRepresentation
bin10010111011110110…
…001100001001010100
31221110221010211221001
4102323312030021110
5313114320222400
613201244433044
71316555111524
oct227366141124
957427124831
1020331414100
11869360a378
123b34b48784
131bc025425a
14dac315684
157dedd2a6a
hex4bbd8c254

20331414100 has 18 divisors (see below), whose sum is σ = 44119168814. Its totient is φ = 8132565600.

The previous prime is 20331414073. The next prime is 20331414133. The reversal of 20331414100 is 141413302.

It can be written as a sum of positive squares in 3 ways, for example, as 5749885584 + 14581528516 = 75828^2 + 120754^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 101656971 + ... + 101657170.

Almost surely, 220331414100 is an apocalyptic number.

20331414100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20331414100 is an abundant number, since it is smaller than the sum of its proper divisors (23787754714).

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

20331414100 is a wasteful number, since it uses less digits than its factorization.

20331414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203314155 (or 203314148 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20331414100 its reverse (141413302), we get a palindrome (20472827402).

The spelling of 20331414100 in words is "twenty billion, three hundred thirty-one million, four hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 203314141 406628282 813256564 1016570705 2033141410 4066282820 5082853525 10165707050 20331414100