Search a number
-
+
1200110112 = 25324167049
BaseRepresentation
bin100011110001000…
…0011101000100000
310002122012220120200
41013202003220200
54424212010422
6315030305200
741511524205
oct10742035040
93078186520
101200110112
11566481543
12295ab8200
13161832636
14b555bcac
157055d2ac
hex47883a20

1200110112 has 36 divisors (see below), whose sum is σ = 3412813950. Its totient is φ = 400036608.

The previous prime is 1200110083. The next prime is 1200110117. The reversal of 1200110112 is 2110110021.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 714172176 + 485937936 = 26724^2 + 22044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1200110094 and 1200110103.

It is not an unprimeable number, because it can be changed into a prime (1200110117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2083237 + ... + 2083812.

Almost surely, 21200110112 is an apocalyptic number.

1200110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1200110112 is an abundant number, since it is smaller than the sum of its proper divisors (2212703838).

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

1200110112 is a wasteful number, since it uses less digits than its factorization.

1200110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4167065 (or 4167054 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 1200110112 is about 34642.6054447410. The cubic root of 1200110112 is about 1062.6910713719.

Adding to 1200110112 its reverse (2110110021), we get a palindrome (3310220133).

Subtracting 1200110112 from its reverse (2110110021), we obtain a palindrome (909999909).

The spelling of 1200110112 in words is "one billion, two hundred million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4167049 8334098 12501147 16668196 25002294 33336392 37503441 50004588 66672784 75006882 100009176 133345568 150013764 200018352 300027528 400036704 600055056 1200110112