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1121199696 = 243244917341
BaseRepresentation
bin100001011010100…
…0010011001010000
32220010201211211200
41002311002121100
54244011342241
6303131111200
736533016531
oct10265023120
92803654750
101121199696
11525984a21
122735a2500
1314b394196
14a8c9a688
15686724b6
hex42d42650

1121199696 has 60 divisors (see below), whose sum is σ = 3144971700. Its totient is φ = 372879360.

The previous prime is 1121199647. The next prime is 1121199697. The reversal of 1121199696 is 6969911211.

It can be written as a sum of positive squares in 2 ways, for example, as 866478096 + 254721600 = 29436^2 + 15960^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121199697) 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 11 ways as a sum of consecutive naturals, for example, 55986 + ... + 73326.

It is an arithmetic number, because the mean of its divisors is an integer number (52416195).

Almost surely, 21121199696 is an apocalyptic number.

1121199696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1121199696 is an abundant number, since it is smaller than the sum of its proper divisors (2023772004).

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

1121199696 is a wasteful number, since it uses less digits than its factorization.

1121199696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17804 (or 17795 counting only the distinct ones).

The product of its digits is 52488, while the sum is 45.

The square root of 1121199696 is about 33484.3201513783. The cubic root of 1121199696 is about 1038.8694865309.

The spelling of 1121199696 in words is "one billion, one hundred twenty-one million, one hundred ninety-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 449 898 1347 1796 2694 3592 4041 5388 7184 8082 10776 16164 17341 21552 32328 34682 52023 64656 69364 104046 138728 156069 208092 277456 312138 416184 624276 832368 1248552 2497104 7786109 15572218 23358327 31144436 46716654 62288872 70074981 93433308 124577744 140149962 186866616 280299924 373733232 560599848 1121199696