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1131200040 = 23359426667
BaseRepresentation
bin100001101101100…
…1011111000101000
32220211112220201210
41003123023320220
54304041400130
6304125313120
740014020205
oct10333137050
92824486653
101131200040
11530595373
12276a057a0
13150485c49
14aa340cac
156949a5b0
hex436cbe28

1131200040 has 32 divisors (see below), whose sum is σ = 3393600480. Its totient is φ = 301653312.

The previous prime is 1131200033. The next prime is 1131200047. The reversal of 1131200040 is 400021311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1131200033) and next prime (1131200047).

It is a super-2 number, since 2×11312000402 = 2559227060992003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1131199989 and 1131200025.

It is not an unprimeable number, because it can be changed into a prime (1131200047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4713214 + ... + 4713453.

It is an arithmetic number, because the mean of its divisors is an integer number (106050015).

Almost surely, 21131200040 is an apocalyptic number.

1131200040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131200040 is an abundant number, since it is smaller than the sum of its proper divisors (2262400440).

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

1131200040 is a wasteful number, since it uses less digits than its factorization.

1131200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9426681 (or 9426677 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1131200040 is about 33633.3174099731. The cubic root of 1131200040 is about 1041.9490201910.

Adding to 1131200040 its reverse (400021311), we get a palindrome (1531221351).

The spelling of 1131200040 in words is "one billion, one hundred thirty-one million, two hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 9426667 18853334 28280001 37706668 47133335 56560002 75413336 94266670 113120004 141400005 188533340 226240008 282800010 377066680 565600020 1131200040