Search a number
-
+
1121220108 = 2232178322073
BaseRepresentation
bin100001011010100…
…0111011000001100
32220010202212211200
41002311013120030
54244013020413
6303131345500
736533133201
oct10265073014
92803685750
101121220108
11525999298
122735b2290
1314b3a0568
14a8ca3ca8
1568678573
hex42d4760c

1121220108 has 72 divisors (see below), whose sum is σ = 3037205808. Its totient is φ = 347501568.

The previous prime is 1121220103. The next prime is 1121220157. The reversal of 1121220108 is 8010221211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1121220101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39760 + ... + 61832.

It is an arithmetic number, because the mean of its divisors is an integer number (42183414).

Almost surely, 21121220108 is an apocalyptic number.

1121220108 is a gapful number since it is divisible by the number (18) 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 1121220108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518602904).

1121220108 is an abundant number, since it is smaller than the sum of its proper divisors (1915985700).

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

1121220108 is a wasteful number, since it uses less digits than its factorization.

1121220108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22183 (or 22178 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1121220108 is about 33484.6249493704. The cubic root of 1121220108 is about 1038.8757908718.

Adding to 1121220108 its reverse (8010221211), we get a palindrome (9131441319).

The spelling of 1121220108 in words is "one billion, one hundred twenty-one million, two hundred twenty thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 83 102 153 166 204 249 306 332 498 612 747 996 1411 1494 2822 2988 4233 5644 8466 12699 16932 22073 25398 44146 50796 66219 88292 132438 198657 264876 375241 397314 750482 794628 1125723 1500964 1832059 2251446 3377169 3664118 4502892 5496177 6754338 7328236 10992354 13508676 16488531 21984708 31145003 32977062 62290006 65954124 93435009 124580012 186870018 280305027 373740036 560610054 1121220108