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1001010132 = 2232101327449
BaseRepresentation
bin111011101010100…
…011001111010100
32120202120120202100
4323222203033110
54022224311012
6243155042100
733543305613
oct7352431724
92522516670
101001010132
11474053801
1223b2a0330
1312c501bb5
1496d3187a
155cd308dc
hex3baa33d4

1001010132 has 36 divisors (see below), whose sum is σ = 2532921300. Its totient is φ = 333328512.

The previous prime is 1001010113. The next prime is 1001010137. The reversal of 1001010132 is 2310101001.

It can be written as a sum of positive squares in 2 ways, for example, as 269091216 + 731918916 = 16404^2 + 27054^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001010137) 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 11 ways as a sum of consecutive naturals, for example, 22744 + ... + 50192.

It is an arithmetic number, because the mean of its divisors is an integer number (70358925).

Almost surely, 21001010132 is an apocalyptic number.

1001010132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001010132 is an abundant number, since it is smaller than the sum of its proper divisors (1531911168).

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

1001010132 is a wasteful number, since it uses less digits than its factorization.

1001010132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28472 (or 28467 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1001010132 is about 31638.7441596534. The cubic root of 1001010132 is about 1000.3365973562.

Adding to 1001010132 its reverse (2310101001), we get a palindrome (3311111133).

The spelling of 1001010132 in words is "one billion, one million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1013 2026 3039 4052 6078 9117 12156 18234 27449 36468 54898 82347 109796 164694 247041 329388 494082 988164 27805837 55611674 83417511 111223348 166835022 250252533 333670044 500505066 1001010132