Search a number
-
+
1021100000 = 255510211
BaseRepresentation
bin111100110111001…
…011111111100000
32122011101020212112
4330313023333200
54042400200000
6245153414452
734206130634
oct7467137740
92564336775
101021100000
114844255a8
12245b6a428
131337171ab
1499880dc4
155e99d235
hex3cdcbfe0

1021100000 has 72 divisors (see below), whose sum is σ = 2512948536. Its totient is φ = 408400000.

The previous prime is 1021099999. The next prime is 1021100009. The reversal of 1021100000 is 11201.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021100009) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 94895 + ... + 105105.

It is an arithmetic number, because the mean of its divisors is an integer number (34902063).

Almost surely, 21021100000 is an apocalyptic number.

1021100000 is a gapful number since it is divisible by the number (10) 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 1021100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256474268).

1021100000 is an abundant number, since it is smaller than the sum of its proper divisors (1491848536).

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

1021100000 is an frugal number, since it uses more digits than its factorization.

1021100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10246 (or 10218 counting only the distinct ones).

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

The square root of 1021100000 is about 31954.6553728874. The cubic root of 1021100000 is about 1006.9844373951.

Adding to 1021100000 its reverse (11201), we get a palindrome (1021111201).

The spelling of 1021100000 in words is "one billion, twenty-one million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 10211 12500 20000 20422 25000 40844 50000 51055 81688 100000 102110 163376 204220 255275 326752 408440 510550 816880 1021100 1276375 1633760 2042200 2552750 4084400 5105500 6381875 8168800 10211000 12763750 20422000 25527500 31909375 40844000 51055000 63818750 102110000 127637500 204220000 255275000 510550000 1021100000