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1121039120 = 24514012989
BaseRepresentation
bin100001011010001…
…1011001100010000
32220010102200120102
41002310123030100
54243441222440
6303123431532
736531450425
oct10264331420
92803380512
101121039120
11525885313
122735255a8
1314b339076
14a8c57d4c
156863eb15
hex42d1b310

1121039120 has 20 divisors (see below), whose sum is σ = 2606416140. Its totient is φ = 448415616.

The previous prime is 1121039057. The next prime is 1121039123. The reversal of 1121039120 is 219301211.

It can be written as a sum of positive squares in 2 ways, for example, as 680375056 + 440664064 = 26084^2 + 20992^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1121039092 and 1121039101.

It is not an unprimeable number, because it can be changed into a prime (1121039123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7006415 + ... + 7006574.

It is an arithmetic number, because the mean of its divisors is an integer number (130320807).

Almost surely, 21121039120 is an apocalyptic number.

1121039120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121039120 is an abundant number, since it is smaller than the sum of its proper divisors (1485377020).

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

1121039120 is a wasteful number, since it uses less digits than its factorization.

1121039120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14013002 (or 14012996 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 1121039120 is about 33481.9222865116. The cubic root of 1121039120 is about 1038.8198892196.

The spelling of 1121039120 in words is "one billion, one hundred twenty-one million, thirty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 14012989 28025978 56051956 70064945 112103912 140129890 224207824 280259780 560519560 1121039120