Search a number
-
+
1112021000 = 23531765413
BaseRepresentation
bin100001001001000…
…0001100000001000
32212111110112000222
41002102001200020
54234134133000
6302202245212
736362010506
oct10222014010
92774415028
101112021000
11520785922
122704b6808
131494cc3bc
14a798b676
156795ca85
hex42481808

1112021000 has 64 divisors (see below), whose sum is σ = 2755237680. Its totient is φ = 418636800.

The previous prime is 1112020981. The next prime is 1112021011. The reversal of 1112021000 is 1202111.

It can be written as a sum of positive squares in 8 ways, for example, as 44169316 + 1067851684 = 6646^2 + 32678^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15707 + ... + 49706.

Almost surely, 21112021000 is an apocalyptic number.

1112021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1112021000 is an abundant number, since it is smaller than the sum of its proper divisors (1643216680).

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

1112021000 is a wasteful number, since it uses less digits than its factorization.

1112021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65451 (or 65437 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1112021000 is about 33346.9788736551. The cubic root of 1112021000 is about 1036.0268151455.

Adding to 1112021000 its reverse (1202111), we get a palindrome (1113223111).

The spelling of 1112021000 in words is "one billion, one hundred twelve million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 680 850 1000 1700 2125 3400 4250 8500 17000 65413 130826 261652 327065 523304 654130 1112021 1308260 1635325 2224042 2616520 3270650 4448084 5560105 6541300 8176625 8896168 11120210 13082600 16353250 22240420 27800525 32706500 44480840 55601050 65413000 111202100 139002625 222404200 278005250 556010500 1112021000