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2111000000 = 26562111
BaseRepresentation
bin111110111010011…
…0100110111000000
312110010012220121012
41331310310313000
513310404000000
6545250020052
7103212126644
oct17564646700
95403186535
102111000000
119936715aa
124aab77628
1327846c935
14160510c24
15c54db735
hex7dd34dc0

2111000000 has 98 divisors (see below), whose sum is σ = 5238682944. Its totient is φ = 844000000.

The previous prime is 2110999981. The next prime is 2111000009. The reversal of 2111000000 is 1112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111000009) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 998945 + ... + 1001055.

Almost surely, 22111000000 is an apocalyptic number.

2111000000 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 2111000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619341472).

2111000000 is an abundant number, since it is smaller than the sum of its proper divisors (3127682944).

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

2111000000 is an frugal number, since it uses more digits than its factorization.

2111000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 2111000000 is about 45945.6200306406. The cubic root of 2111000000 is about 1282.8112041762.

Adding to 2111000000 its reverse (1112), we get a palindrome (2111001112).

The spelling of 2111000000 in words is "two billion, one hundred eleven million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2111 2500 3125 4000 4222 5000 6250 8000 8444 10000 10555 12500 15625 16888 20000 21110 25000 31250 33776 40000 42220 50000 52775 62500 67552 84440 100000 105550 125000 135104 168880 200000 211100 250000 263875 337760 422200 500000 527750 675520 844400 1000000 1055500 1319375 1688800 2111000 2638750 3377600 4222000 5277500 6596875 8444000 10555000 13193750 16888000 21110000 26387500 32984375 42220000 52775000 65968750 84440000 105550000 131937500 211100000 263875000 422200000 527750000 1055500000 2111000000