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1121523216 = 243114015297
BaseRepresentation
bin100001011011001…
…0001011000010000
32220011100021121220
41002312101120100
54244102220331
6303142045040
736535534662
oct10266213020
92804307556
101121523216
11526085aa0
12273719780
1314b478508
14a8d42532
15686d8296
hex42d91610

1121523216 has 80 divisors (see below), whose sum is σ = 3169136448. Its totient is φ = 338944000.

The previous prime is 1121523209. The next prime is 1121523233. The reversal of 1121523216 is 6123251211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 209080 + ... + 214376.

Almost surely, 21121523216 is an apocalyptic number.

1121523216 is a gapful number since it is divisible by the number (16) 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 1121523216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584568224).

1121523216 is an abundant number, since it is smaller than the sum of its proper divisors (2047613232).

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

1121523216 is a wasteful number, since it uses less digits than its factorization.

1121523216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720 (or 5714 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 1121523216 is about 33489.1507207931. The cubic root of 1121523216 is about 1038.9693981809.

Adding to 1121523216 its reverse (6123251211), we get a palindrome (7244774427).

The spelling of 1121523216 in words is "one billion, one hundred twenty-one million, five hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 401 528 802 1203 1604 2406 3208 4411 4812 5297 6416 8822 9624 10594 13233 15891 17644 19248 21188 26466 31782 35288 42376 52932 58267 63564 70576 84752 105864 116534 127128 174801 211728 233068 254256 349602 466136 699204 932272 1398408 2124097 2796816 4248194 6372291 8496388 12744582 16992776 23365067 25489164 33985552 46730134 50978328 70095201 93460268 101956656 140190402 186920536 280380804 373841072 560761608 1121523216