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2101240200 = 2335223914653
BaseRepresentation
bin111110100111110…
…0110000110001000
312102102212001200010
41331033212012020
513300404141300
6544300511520
7103033150503
oct17517460610
95372761603
102101240200
11989105954
124a784b5a0
132764334c7
1415d0d013a
15c470ea50
hex7d3e6188

2101240200 has 96 divisors (see below), whose sum is σ = 6541545600. Its totient is φ = 557948160.

The previous prime is 2101240189. The next prime is 2101240223. The reversal of 2101240200 is 20421012.

2101240200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136074 + ... + 150726.

It is an arithmetic number, because the mean of its divisors is an integer number (68141100).

Almost surely, 22101240200 is an apocalyptic number.

2101240200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270772800).

2101240200 is an abundant number, since it is smaller than the sum of its proper divisors (4440305400).

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

2101240200 is a wasteful number, since it uses less digits than its factorization.

2101240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14911 (or 14902 counting only the distinct ones).

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

The square root of 2101240200 is about 45839.2866436641. The cubic root of 2101240200 is about 1280.8312065334.

Adding to 2101240200 its reverse (20421012), we get a palindrome (2121661212).

The spelling of 2101240200 in words is "two billion, one hundred one million, two hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 239 300 478 600 717 956 1195 1434 1912 2390 2868 3585 4780 5736 5975 7170 9560 11950 14340 14653 17925 23900 28680 29306 35850 43959 47800 58612 71700 73265 87918 117224 143400 146530 175836 219795 293060 351672 366325 439590 586120 732650 879180 1098975 1465300 1758360 2197950 2930600 3502067 4395900 7004134 8791800 10506201 14008268 17510335 21012402 28016536 35020670 42024804 52531005 70041340 84049608 87551675 105062010 140082680 175103350 210124020 262655025 350206700 420248040 525310050 700413400 1050620100 2101240200