Search a number
-
+
1121055232 = 2911316421
BaseRepresentation
bin100001011010001…
…1111001000000000
32220010110111200011
41002310133020000
54243442231412
6303124034304
736531545413
oct10264371000
92803414604
101121055232
11525896430
12273532994
1314b3434bb
14a8c5db7a
15686447a7
hex42d1f200

1121055232 has 80 divisors (see below), whose sum is σ = 2522767104. Its totient is φ = 493056000.

The previous prime is 1121055197. The next prime is 1121055239. The reversal of 1121055232 is 2325501211.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1121055239) 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 7 ways as a sum of consecutive naturals, for example, 171382 + ... + 177802.

Almost surely, 21121055232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121055232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261383552).

1121055232 is an abundant number, since it is smaller than the sum of its proper divisors (1401711872).

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

1121055232 is an equidigital number, since it uses as much as digits as its factorization.

1121055232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6481 (or 6465 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1121055232 is about 33482.1628930988. The cubic root of 1121055232 is about 1038.8248659671.

Adding to 1121055232 its reverse (2325501211), we get a palindrome (3446556443).

The spelling of 1121055232 in words is "one billion, one hundred twenty-one million, fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 512 682 704 992 1364 1408 1984 2728 2816 3968 5456 5632 6421 7936 10912 12842 15872 21824 25684 43648 51368 70631 87296 102736 141262 174592 199051 205472 282524 398102 410944 565048 796204 821888 1130096 1592408 1643776 2189561 2260192 3184816 3287552 4379122 4520384 6369632 8758244 9040768 12739264 17516488 18081536 25478528 35032976 36163072 50957056 70065952 101914112 140131904 280263808 560527616 1121055232