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132301011000 = 233533710111801
BaseRepresentation
bin111101100110111000…
…0010011100000111000
3110122111021200201022110
41323031300103200320
54131423024323000
6140440033452320
712362354016144
oct1731560234070
9418437621273
10132301011000
1151121520814
12217834110a0
13c625811bc2
146590d1c224
153694d84850
hex1ecdc13838

132301011000 has 256 divisors, whose sum is σ = 428169006720. Its totient is φ = 33984000000.

The previous prime is 132301010993. The next prime is 132301011061. The reversal of 132301011000 is 110103231.

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, 11205100 + ... + 11216900.

Almost surely, 2132301011000 is an apocalyptic number.

132301011000 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 132301011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214084503360).

132301011000 is an abundant number, since it is smaller than the sum of its proper divisors (295867995720).

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

132301011000 is a wasteful number, since it uses less digits than its factorization.

132301011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11963 (or 11949 counting only the distinct ones).

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

Adding to 132301011000 its reverse (110103231), we get a palindrome (132411114231).

The spelling of 132301011000 in words is "one hundred thirty-two billion, three hundred one million, eleven thousand".