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132003312030 = 23252837516991
BaseRepresentation
bin111101011110000000…
…0101011000110011110
3110121201112112001002200
41322330000223012132
54130320321441110
6140350321032330
712352110432132
oct1727400530636
9417645461080
10132003312030
1150a89479107
12216bb7856a6
13c5a8c3b575
1465635873c2
153678b7c6c0
hex1ebc02b19e

132003312030 has 48 divisors (see below), whose sum is σ = 343330251264. Its totient is φ = 35188407360.

The previous prime is 132003312011. The next prime is 132003312031. The reversal of 132003312030 is 30213300231.

132003312030 is a `hidden beast` number, since 1 + 320 + 0 + 3 + 312 + 0 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132003311994 and 132003312012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132003312031) 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 23 ways as a sum of consecutive naturals, for example, 3166 + ... + 513825.

It is an arithmetic number, because the mean of its divisors is an integer number (7152713568).

Almost surely, 2132003312030 is an apocalyptic number.

132003312030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132003312030 is an abundant number, since it is smaller than the sum of its proper divisors (211326939234).

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

132003312030 is a wasteful number, since it uses less digits than its factorization.

132003312030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519841 (or 519838 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 132003312030 its reverse (30213300231), we get a palindrome (162216612261).

The spelling of 132003312030 in words is "one hundred thirty-two billion, three million, three hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2837 5674 8511 14185 17022 25533 28370 42555 51066 85110 127665 255330 516991 1033982 1550973 2584955 3101946 4652919 5169910 7754865 9305838 15509730 23264595 46529190 1466703467 2933406934 4400110401 7333517335 8800220802 13200331203 14667034670 22000552005 26400662406 44001104010 66001656015 132003312030