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3031321332 = 223131932833
BaseRepresentation
bin1011010010101110…
…0100101011110100
321211020222002010110
42310223210223310
522202004240312
61220443423020
7135055543344
oct26453445364
97736862113
103031321332
111316113646
12707224a70
1339402ca80
1420a83ad24
1512b1ce43c
hexb4ae4af4

3031321332 has 96 divisors (see below), whose sum is σ = 8043118720. Its totient is φ = 883312128.

The previous prime is 3031321331. The next prime is 3031321333. The reversal of 3031321332 is 2331231303.

It is an interprime number because it is at equal distance from previous prime (3031321331) and next prime (3031321333).

It is a junction number, because it is equal to n+sod(n) for n = 3031321299 and 3031321308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3031321331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1068588 + ... + 1071420.

Almost surely, 23031321332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3031321332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021559360).

3031321332 is an abundant number, since it is smaller than the sum of its proper divisors (5011797388).

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

3031321332 is a wasteful number, since it uses less digits than its factorization.

3031321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2870 counting only the distinct ones).

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

The square root of 3031321332 is about 55057.4366639058. The cubic root of 3031321332 is about 1447.2514451773.

Adding to 3031321332 its reverse (2331231303), we get a palindrome (5362552635).

The spelling of 3031321332 in words is "three billion, thirty-one million, three hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 361 494 722 741 988 1083 1444 1482 2166 2833 2964 4332 4693 5666 6859 8499 9386 11332 13718 14079 16998 18772 20577 27436 28158 33996 36829 41154 53827 56316 73658 82308 89167 107654 110487 147316 161481 178334 215308 220974 267501 322962 356668 441948 535002 645924 699751 1022713 1070004 1399502 2045426 2099253 2799004 3068139 4090852 4198506 6136278 8397012 12272556 13295269 19431547 26590538 38863094 39885807 53181076 58294641 77726188 79771614 116589282 159543228 233178564 252610111 505220222 757830333 1010440444 1515660666 3031321332