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1032113313 = 33721170921
BaseRepresentation
bin111101100001001…
…100110010100001
32122221002210022000
4331201030302201
54103210111223
6250225434213
734401550500
oct7541146241
92587083260
101032113313
1148a668010
1224979b969
13135aa204a
149b10a837
1560926543
hex3d84cca1

1032113313 has 48 divisors (see below), whose sum is σ = 1940425920. Its totient is φ = 536155200.

The previous prime is 1032113311. The next prime is 1032113321. The reversal of 1032113313 is 3133112301.

It is a happy number.

1032113313 is a `hidden beast` number, since 10 + 321 + 1 + 331 + 3 = 666.

It is not a de Polignac number, because 1032113313 - 21 = 1032113311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1032113311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20908 + ... + 50013.

It is an arithmetic number, because the mean of its divisors is an integer number (40425540).

Almost surely, 21032113313 is an apocalyptic number.

It is an amenable number.

1032113313 is a deficient number, since it is larger than the sum of its proper divisors (908312607).

1032113313 is a wasteful number, since it uses less digits than its factorization.

1032113313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70955 (or 70942 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1032113313 is about 32126.5203998192. The cubic root of 1032113313 is about 1010.5918542005.

Adding to 1032113313 its reverse (3133112301), we get a palindrome (4165225614).

The spelling of 1032113313 in words is "one billion, thirty-two million, one hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 147 189 231 297 441 539 693 1323 1617 2079 4851 14553 70921 212763 496447 638289 780131 1489341 1914867 2340393 3475129 4468023 5460917 7021179 10425387 13404069 16382751 21063537 31276161 38226419 49148253 93828483 114679257 147444759 344037771 1032113313