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132011221320 = 2332511172967619
BaseRepresentation
bin111101011110001111…
…0110110000101001000
3110121202002101212121100
41322330132312011020
54130324333040240
6140351202341400
712352234603236
oct1727436660510
9417662355540
10132011221320
1150a92990510
122170235a860
13c5aa77a614
146564645956
1536796e0e30
hex1ebc7b6148

132011221320 has 384 divisors, whose sum is σ = 512667792000. Its totient is φ = 29081149440.

The previous prime is 132011221313. The next prime is 132011221327. The reversal of 132011221320 is 23122110231.

132011221320 is a `hidden beast` number, since 1 + 320 + 1 + 1 + 2 + 21 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (132011221313) and next prime (132011221327).

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

It is a junction number, because it is equal to n+sod(n) for n = 132011221293 and 132011221302.

It is not an unprimeable number, because it can be changed into a prime (132011221327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1918471 + ... + 1986089.

It is an arithmetic number, because the mean of its divisors is an integer number (1335072375).

Almost surely, 2132011221320 is an apocalyptic number.

132011221320 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 132011221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256333896000).

132011221320 is an abundant number, since it is smaller than the sum of its proper divisors (380656570680).

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

132011221320 is a wasteful number, since it uses less digits than its factorization.

132011221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67693 (or 67686 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132011221320 its reverse (23122110231), we get a palindrome (155133331551).

The spelling of 132011221320 in words is "one hundred thirty-two billion, eleven million, two hundred twenty-one thousand, three hundred twenty".