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2102010200 = 235215766943
BaseRepresentation
bin111110101001010…
…0010000101011000
312102111022011220122
41331102202011120
513301103311300
6544325212412
7103042535423
oct17522420530
95374264818
102102010200
11989591414
124a7b61108
13276642b24
1415d2509ba
15c4812c85
hex7d4a2158

2102010200 has 48 divisors (see below), whose sum is σ = 4918375680. Its totient is φ = 835436160.

The previous prime is 2102010193. The next prime is 2102010221. The reversal of 2102010200 is 20102012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2072 + ... + 64871.

It is an arithmetic number, because the mean of its divisors is an integer number (102466160).

Almost surely, 22102010200 is an apocalyptic number.

2102010200 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 2102010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459187840).

2102010200 is an abundant number, since it is smaller than the sum of its proper divisors (2816365480).

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

2102010200 is a wasteful number, since it uses less digits than its factorization.

2102010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67116 (or 67107 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2102010200 is about 45847.6847834217. The cubic root of 2102010200 is about 1280.9876410658.

Adding to 2102010200 its reverse (20102012), we get a palindrome (2122112212).

The spelling of 2102010200 in words is "two billion, one hundred two million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 314 628 785 1256 1570 3140 3925 6280 7850 15700 31400 66943 133886 267772 334715 535544 669430 1338860 1673575 2677720 3347150 6694300 10510051 13388600 21020102 42040204 52550255 84080408 105100510 210201020 262751275 420402040 525502550 1051005100 2102010200