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1133012020 = 22572929623
BaseRepresentation
bin100001110001000…
…0110010000110100
32220221221222022011
41003202012100310
54310022341040
6304232214004
740035305020
oct10342062064
92827858264
101133012020
11531612778
1227753a304
1315096b91a
14aa693380
15697073ea
hex43886434

1133012020 has 72 divisors (see below), whose sum is σ = 2816521344. Its totient is φ = 375027072.

The previous prime is 1133012017. The next prime is 1133012021. The reversal of 1133012020 is 202103311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133012021) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 112929 + ... + 122551.

It is an arithmetic number, because the mean of its divisors is an integer number (39118352).

Almost surely, 21133012020 is an apocalyptic number.

1133012020 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 1133012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408260672).

1133012020 is an abundant number, since it is smaller than the sum of its proper divisors (1683509324).

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

1133012020 is a wasteful number, since it uses less digits than its factorization.

1133012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9697 (or 9666 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1133012020 is about 33660.2439088014. The cubic root of 1133012020 is about 1042.5050620169.

Adding to 1133012020 its reverse (202103311), we get a palindrome (1335115331).

The spelling of 1133012020 in words is "one billion, one hundred thirty-three million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 841 1015 1682 2030 3364 4060 4205 5887 8410 9623 11774 16820 19246 23548 29435 38492 48115 58870 67361 96230 117740 134722 192460 269444 279067 336805 558134 673610 1116268 1347220 1395335 1953469 2790670 3906938 5581340 7813876 8092943 9767345 16185886 19534690 32371772 39069380 40464715 56650601 80929430 113301202 161858860 226602404 283253005 566506010 1133012020