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132120022001 = 1141764938299
BaseRepresentation
bin111101100001011110…
…1111000101111110001
3110122000200010112002012
41323002331320233301
54131040211201001
6140410050332305
712355025441342
oct1730275705761
9418020115065
10132120022001
1151039343030
122173288a095
13c5c7182b16
146574c880c9
1536840332bb
hex1ec2f78bf1

132120022001 has 16 divisors (see below), whose sum is σ = 147669480000. Its totient is φ = 117161241600.

The previous prime is 132120021989. The next prime is 132120022003. The reversal of 132120022001 is 100220021231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 132120022001 - 218 = 132119759857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132120022003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3430550 + ... + 3468848.

It is an arithmetic number, because the mean of its divisors is an integer number (9229342500).

Almost surely, 2132120022001 is an apocalyptic number.

132120022001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132120022001 is a deficient number, since it is larger than the sum of its proper divisors (15549457999).

132120022001 is a wasteful number, since it uses less digits than its factorization.

132120022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46000.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 132120022001 its reverse (100220021231), we get a palindrome (232340043232).

The spelling of 132120022001 in words is "one hundred thirty-two billion, one hundred twenty million, twenty-two thousand, one".

Divisors: 1 11 41 451 7649 38299 84139 313609 421289 1570259 3449699 17272849 292949051 3222439561 12010911091 132120022001