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2100412020 = 223575000981
BaseRepresentation
bin111110100110001…
…1011111001110100
312102101021222121210
41331030123321310
513300201141040
6544231041420
7103023131130
oct17514337164
95371258553
102100412020
1198869a703
124a7510270
13276203565
1415cd563c0
15c45e9480
hex7d31be74

2100412020 has 48 divisors (see below), whose sum is σ = 6721319808. Its totient is φ = 480094080.

The previous prime is 2100412009. The next prime is 2100412063. The reversal of 2100412020 is 202140012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2100411987 and 2100412005.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2500071 + ... + 2500910.

It is an arithmetic number, because the mean of its divisors is an integer number (140027496).

Almost surely, 22100412020 is an apocalyptic number.

2100412020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100412020 is an abundant number, since it is smaller than the sum of its proper divisors (4620907788).

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

2100412020 is a wasteful number, since it uses less digits than its factorization.

2100412020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5001000 (or 5000998 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2100412020 is about 45830.2522358322. The cubic root of 2100412020 is about 1280.6629093882.

Adding to 2100412020 its reverse (202140012), we get a palindrome (2302552032).

The spelling of 2100412020 in words is "two billion, one hundred million, four hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 5000981 10001962 15002943 20003924 25004905 30005886 35006867 50009810 60011772 70013734 75014715 100019620 105020601 140027468 150029430 175034335 210041202 300058860 350068670 420082404 525103005 700137340 1050206010 2100412020