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1121103440 = 24561322861
BaseRepresentation
bin100001011010010…
…1010111001010000
32220010112221210122
41002310222321100
54244000302230
6303125045412
736532136102
oct10264527120
92803487718
101121103440
11525919676
12273556868
1314b35c422
14a8c73572
1568653be5
hex42d2ae50

1121103440 has 40 divisors (see below), whose sum is σ = 2610931848. Its totient is φ = 447690240.

The previous prime is 1121103433. The next prime is 1121103443. The reversal of 1121103440 is 443011211.

It is a happy number.

1121103440 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 55472704 + 1065630736 = 7448^2 + 32644^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121103443) 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 7 ways as a sum of consecutive naturals, for example, 37610 + ... + 60470.

Almost surely, 21121103440 is an apocalyptic number.

1121103440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121103440 is an abundant number, since it is smaller than the sum of its proper divisors (1489828408).

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

1121103440 is a wasteful number, since it uses less digits than its factorization.

1121103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23487 (or 23481 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 1121103440 is about 33482.8827910621. The cubic root of 1121103440 is about 1038.8397563876.

Adding to 1121103440 its reverse (443011211), we get a palindrome (1564114651).

The spelling of 1121103440 in words is "one billion, one hundred twenty-one million, one hundred three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 613 1226 2452 3065 4904 6130 9808 12260 22861 24520 45722 49040 91444 114305 182888 228610 365776 457220 914440 1828880 14013793 28027586 56055172 70068965 112110344 140137930 224220688 280275860 560551720 1121103440