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132030003000 = 23353747133769
BaseRepresentation
bin111101011110110011…
…0011111011100111000
3110121210101202002020010
41322331212133130320
54130344140044000
6140353113101520
712352553336310
oct1727546373470
9417711662203
10132030003000
1150aa2549465
12217086b78a0
13c5b162533c
146566d34440
15367b1a0d50
hex1ebd99f738

132030003000 has 256 divisors, whose sum is σ = 480801484800. Its totient is φ = 29535974400.

The previous prime is 132030002989. The next prime is 132030003011. The reversal of 132030003000 is 300030231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132030002989) and next prime (132030003011).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 920116 + ... + 1053884.

It is an arithmetic number, because the mean of its divisors is an integer number (1878130800).

Almost surely, 2132030003000 is an apocalyptic number.

132030003000 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 132030003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240400742400).

132030003000 is an abundant number, since it is smaller than the sum of its proper divisors (348771481800).

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

132030003000 is a wasteful number, since it uses less digits than its factorization.

132030003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133847 (or 133833 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 132030003000 its reverse (300030231), we get a palindrome (132330033231).

The spelling of 132030003000 in words is "one hundred thirty-two billion, thirty million, three thousand".