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1131220020 = 223572693381
BaseRepresentation
bin100001101101101…
…0000110000110100
32220211120221010210
41003123100300310
54304043020040
6304125545420
740014132360
oct10333206064
92824527123
101131220020
115305a9387
12276a15270
13150492078
14aa3482a0
15694a1480
hex436d0c34

1131220020 has 48 divisors (see below), whose sum is σ = 3619905408. Its totient is φ = 258564480.

The previous prime is 1131220009. The next prime is 1131220021. The reversal of 1131220020 is 200221311.

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 = 1131219978 and 1131220005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131220021) 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 15 ways as a sum of consecutive naturals, for example, 1346271 + ... + 1347110.

It is an arithmetic number, because the mean of its divisors is an integer number (75414696).

Almost surely, 21131220020 is an apocalyptic number.

1131220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131220020 is an abundant number, since it is smaller than the sum of its proper divisors (2488685388).

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

1131220020 is a wasteful number, since it uses less digits than its factorization.

1131220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693400 (or 2693398 counting only the distinct ones).

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

The square root of 1131220020 is about 33633.6144355613. The cubic root of 1131220020 is about 1041.9551546847.

Adding to 1131220020 its reverse (200221311), we get a palindrome (1331441331).

The spelling of 1131220020 in words is "one billion, one hundred thirty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 2693381 5386762 8080143 10773524 13466905 16160286 18853667 26933810 32320572 37707334 40400715 53867620 56561001 75414668 80801430 94268335 113122002 161602860 188536670 226244004 282805005 377073340 565610010 1131220020