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1115200041 = 319414391087
BaseRepresentation
bin100001001111000…
…1001101000101001
32212201110000212020
41002132021220221
54240442400131
6302354335053
736431021034
oct10236115051
92781400766
101115200041
1152255732a
1227158a489
1314a0733a7
14a817801b
1567d89996
hex42789a29

1115200041 has 32 divisors (see below), whose sum is σ = 1608499200. Its totient is φ = 684961920.

The previous prime is 1115200027. The next prime is 1115200043. The reversal of 1115200041 is 1400025111.

It is a happy number.

It is not a de Polignac number, because 1115200041 - 29 = 1115199529 is a prime.

It is a super-2 number, since 2×11152000412 = 2487342262892803362, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1115200043) 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 31 ways as a sum of consecutive naturals, for example, 1025400 + ... + 1026486.

It is an arithmetic number, because the mean of its divisors is an integer number (50265600).

Almost surely, 21115200041 is an apocalyptic number.

It is an amenable number.

1115200041 is a deficient number, since it is larger than the sum of its proper divisors (493299159).

1115200041 is a wasteful number, since it uses less digits than its factorization.

1115200041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1115200041 is about 33394.6109574584. The cubic root of 1115200041 is about 1037.0131388894.

Adding to 1115200041 its reverse (1400025111), we get a palindrome (2515225152).

The spelling of 1115200041 in words is "one billion, one hundred fifteen million, two hundred thousand, forty-one".

Divisors: 1 3 19 41 57 123 439 779 1087 1317 2337 3261 8341 17999 20653 25023 44567 53997 61959 133701 341981 477193 846773 1025943 1431579 2540319 9066667 19564913 27200001 58694739 371733347 1115200041