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2100201000 = 23353700067
BaseRepresentation
bin111110100101110…
…1000011000101000
312102100220021011020
41331023220120220
513300122413000
6544222332440
7103021261662
oct17513503050
95370807136
102100201000
11988566107
124a742a120
1327615b4b1
1415ccdd532
15c45a6ba0
hex7d2e8628

2100201000 has 64 divisors (see below), whose sum is σ = 6552636480. Its totient is φ = 560052800.

The previous prime is 2100200987. The next prime is 2100201011. The reversal of 2100201000 is 1020012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2100201000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347034 + ... + 353033.

It is an arithmetic number, because the mean of its divisors is an integer number (102384945).

Almost surely, 22100201000 is an apocalyptic number.

2100201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100201000 is an abundant number, since it is smaller than the sum of its proper divisors (4452435480).

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

2100201000 is a wasteful number, since it uses less digits than its factorization.

2100201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700091 (or 700077 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2100201000 is about 45827.9499868803. The cubic root of 2100201000 is about 1280.6200202574.

Adding to 2100201000 its reverse (1020012), we get a palindrome (2101221012).

The spelling of 2100201000 in words is "two billion, one hundred million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 700067 1400134 2100201 2800268 3500335 4200402 5600536 7000670 8400804 10501005 14001340 16801608 17501675 21002010 28002680 35003350 42004020 52505025 70006700 84008040 87508375 105010050 140013400 175016750 210020100 262525125 350033500 420040200 525050250 700067000 1050100500 2100201000