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132001301040 = 243574712831303
BaseRepresentation
bin111101011101111100…
…1000000001000110000
3110121201101201212112120
41322323321000020300
54130314313113130
6140350205554240
712352054355160
oct1727371001060
9417641655476
10132001301040
1150a88325234
12216bab75980
13c5a86b612b
1465631c25a0
1536788d1910
hex1ebbe40230

132001301040 has 320 divisors, whose sum is σ = 478351097856. Its totient is φ = 29484112896.

The previous prime is 132001301039. The next prime is 132001301041. The reversal of 132001301040 is 40103100231.

It is an interprime number because it is at equal distance from previous prime (132001301039) and next prime (132001301041).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (132001301041) 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 63 ways as a sum of consecutive naturals, for example, 101305029 + ... + 101306331.

Almost surely, 2132001301040 is an apocalyptic number.

132001301040 is a gapful number since it is divisible by the number (10) 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 132001301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239175548928).

132001301040 is an abundant number, since it is smaller than the sum of its proper divisors (346349796816).

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

132001301040 is a wasteful number, since it uses less digits than its factorization.

132001301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2650 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132001301040 its reverse (40103100231), we get a palindrome (172104401271).

The spelling of 132001301040 in words is "one hundred thirty-two billion, one million, three hundred one thousand, forty".