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1331012352 = 2836725867
BaseRepresentation
bin100111101010101…
…1010001100000000
310102202112102200210
41033111122030000
510211214343402
6340024114120
744661263325
oct11725321400
93382472623
101331012352
1162335a30a
12311905940
131829a5997
14c8ab4b4c
157bcb906c
hex4f55a300

1331012352 has 72 divisors (see below), whose sum is σ = 3595445056. Its totient is φ = 437031936.

The previous prime is 1331012351. The next prime is 1331012357. The reversal of 1331012352 is 2532101331.

It is not an unprimeable number, because it can be changed into a prime (1331012351) 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 7 ways as a sum of consecutive naturals, for example, 38523 + ... + 64389.

Almost surely, 21331012352 is an apocalyptic number.

1331012352 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 1331012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797722528).

1331012352 is an abundant number, since it is smaller than the sum of its proper divisors (2264432704).

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

1331012352 is an equidigital number, since it uses as much as digits as its factorization.

1331012352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25953 (or 25939 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 1331012352 is about 36483.0419784316. The cubic root of 1331012352 is about 1100.0034027443.

Adding to 1331012352 its reverse (2532101331), we get a palindrome (3863113683).

The spelling of 1331012352 in words is "one billion, three hundred thirty-one million, twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 536 768 804 1072 1608 2144 3216 4288 6432 8576 12864 17152 25728 25867 51456 51734 77601 103468 155202 206936 310404 413872 620808 827744 1241616 1655488 1733089 2483232 3310976 3466178 4966464 5199267 6621952 6932356 9932928 10398534 13864712 19865856 20797068 27729424 41594136 55458848 83188272 110917696 166376544 221835392 332753088 443670784 665506176 1331012352