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1001310132 = 2231737532503
BaseRepresentation
bin111011101011101…
…100011110110100
32120210010211021110
4323223230132310
54022313411012
6243205315020
733545665344
oct7353543664
92523124243
101001310132
11474239139
1223b405a70
1312c5a8604
1496dacd24
155cd8e73c
hex3baec7b4

1001310132 has 96 divisors (see below), whose sum is σ = 2589656832. Its totient is φ = 299759616.

The previous prime is 1001310131. The next prime is 1001310133. The reversal of 1001310132 is 2310131001.

It is an interprime number because it is at equal distance from previous prime (1001310131) and next prime (1001310133).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001310131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 398793 + ... + 401295.

It is an arithmetic number, because the mean of its divisors is an integer number (26975592).

Almost surely, 21001310132 is an apocalyptic number.

1001310132 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 1001310132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294828416).

1001310132 is an abundant number, since it is smaller than the sum of its proper divisors (1588346700).

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

1001310132 is a wasteful number, since it uses less digits than its factorization.

1001310132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2617 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1001310132 is about 31643.4848270541. The cubic root of 1001310132 is about 1000.4365200892.

Adding to 1001310132 its reverse (2310131001), we get a palindrome (3311441133).

The spelling of 1001310132 in words is "one billion, one million, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 37 51 53 68 74 102 106 111 148 159 204 212 222 318 444 629 636 901 1258 1802 1887 1961 2503 2516 2703 3604 3774 3922 5006 5406 5883 7509 7548 7844 10012 10812 11766 15018 23532 30036 33337 42551 66674 85102 92611 100011 127653 132659 133348 170204 185222 200022 255306 265318 277833 370444 397977 400044 510612 530636 555666 795954 1111332 1574387 1591908 2255203 3148774 4510406 4723161 4908383 6297548 6765609 9020812 9446322 9816766 13531218 14725149 18892644 19633532 27062436 29450298 58900596 83442511 166885022 250327533 333770044 500655066 1001310132