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1133023332 = 223723678753
BaseRepresentation
bin100001110001000…
…1001000001100100
32220221222112211010
41003202021001210
54310023221312
6304232342220
740035353010
oct10342110144
92827875733
101133023332
11531620221
12277544970
13150973b0c
14aa697540
156970a93c
hex43889064

1133023332 has 96 divisors (see below), whose sum is σ = 3200182272. Its totient is φ = 304989696.

The previous prime is 1133023273. The next prime is 1133023337. The reversal of 1133023332 is 2333203311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1133023299 and 1133023308.

It is not an unprimeable number, because it can be changed into a prime (1133023337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125068 + ... + 133820.

It is an arithmetic number, because the mean of its divisors is an integer number (33335232).

Almost surely, 21133023332 is an apocalyptic number.

1133023332 is a gapful number since it is divisible by the number (12) 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 1133023332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600091136).

1133023332 is an abundant number, since it is smaller than the sum of its proper divisors (2067158940).

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

1133023332 is a wasteful number, since it uses less digits than its factorization.

1133023332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8857 (or 8855 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 1133023332 is about 33660.4119404383. The cubic root of 1133023332 is about 1042.5085314647.

Adding to 1133023332 its reverse (2333203311), we get a palindrome (3466226643).

The spelling of 1133023332 in words is "one billion, one hundred thirty-three million, twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 67 69 84 92 134 138 161 201 268 276 322 402 469 483 644 804 938 966 1407 1541 1876 1932 2814 3082 4623 5628 6164 8753 9246 10787 17506 18492 21574 26259 32361 35012 43148 52518 61271 64722 105036 122542 129444 183813 201319 245084 367626 402638 586451 603957 735252 805276 1172902 1207914 1409233 1759353 2345804 2415828 2818466 3518706 4105157 4227699 5636932 7037412 8210314 8455398 12315471 13488373 16420628 16910796 24630942 26976746 40465119 49261884 53953492 80930238 94418611 161860476 188837222 283255833 377674444 566511666 1133023332