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1150341120 = 212325792
BaseRepresentation
bin100010010010000…
…1101000000000000
32222011120101100200
41010210031000000
54323441403440
6310051445200
740335511125
oct10444150000
92864511320
101150341120
11540379345
122812b6800
13154428426
14acac474c
156aecbc30
hex4490d000

1150341120 has 234 divisors, whose sum is σ = 4038474258. Its totient is φ = 302874624.

The previous prime is 1150341107. The next prime is 1150341133. The reversal of 1150341120 is 211430511.

1150341120 is a `hidden beast` number, since 1 + 1 + 503 + 41 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (1150341107) and next prime (1150341133).

It can be written as a sum of positive squares in only one way, i.e., 920272896 + 230068224 = 30336^2 + 15168^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1150341093 and 1150341102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14561241 + ... + 14561319.

It is an arithmetic number, because the mean of its divisors is an integer number (17258437).

Almost surely, 21150341120 is an apocalyptic number.

1150341120 is a gapful number since it is divisible by the number (10) 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 1150341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2019237129).

1150341120 is an abundant number, since it is smaller than the sum of its proper divisors (2888133138).

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

1150341120 is an frugal number, since it uses more digits than its factorization.

1150341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1150341120 is about 33916.6790827168. The cubic root of 1150341120 is about 1047.7931336149.

Adding to 1150341120 its reverse (211430511), we get a palindrome (1361771631).

The spelling of 1150341120 in words is "one billion, one hundred fifty million, three hundred forty-one thousand, one hundred twenty".