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1133130020 = 2251119326687
BaseRepresentation
bin100001110001010…
…0011000100100100
32220222011222011112
41003202203010210
54310040130040
6304234524152
740036306031
oct10342430444
92828158145
101133130020
115316933a0
12277596658
131509b0549
14aa6c4388
156972c365
hex438a3124

1133130020 has 48 divisors (see below), whose sum is σ = 2609445888. Its totient is φ = 409896960.

The previous prime is 1133129993. The next prime is 1133130049. The reversal of 1133130020 is 200313311.

It is a junction number, because it is equal to n+sod(n) for n = 1133129977 and 1133130004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29117 + ... + 55803.

It is an arithmetic number, because the mean of its divisors is an integer number (54363456).

Almost surely, 21133130020 is an apocalyptic number.

1133130020 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 1133130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304722944).

1133130020 is an abundant number, since it is smaller than the sum of its proper divisors (1476315868).

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

1133130020 is a wasteful number, since it uses less digits than its factorization.

1133130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26900 (or 26898 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1133130020 is about 33661.9966728060. The cubic root of 1133130020 is about 1042.5412520793.

Adding to 1133130020 its reverse (200313311), we get a palindrome (1333443331).

The spelling of 1133130020 in words is "one billion, one hundred thirty-three million, one hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 193 220 386 772 965 1930 2123 3860 4246 8492 10615 21230 26687 42460 53374 106748 133435 266870 293557 533740 587114 1174228 1467785 2935570 5150591 5871140 10301182 20602364 25752955 51505910 56656501 103011820 113313002 226626004 283282505 566565010 1133130020