Search a number
-
+
132876372401 is a prime number
BaseRepresentation
bin111101111000000001…
…1001000100110110001
3110200222101100002202222
41323300003020212301
54134112322404101
6141013105450425
712412541346503
oct1736003104661
9420871302688
10132876372401
1151397280303
1221904040a15
13c6b7a91c36
1466074cdd73
1536ca63701b
hex1ef00c89b1

132876372401 has 2 divisors, whose sum is σ = 132876372402. Its totient is φ = 132876372400.

The previous prime is 132876372379. The next prime is 132876372403. The reversal of 132876372401 is 104273678231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109295698801 + 23580673600 = 330599^2 + 153560^2 .

It is a cyclic number.

It is not a de Polignac number, because 132876372401 - 222 = 132872178097 is a prime.

It is a super-2 number, since 2×1328763724012 (a number of 23 digits) contains 22 as substring.

Together with 132876372403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (132876372403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66438186200 + 66438186201.

It is an arithmetic number, because the mean of its divisors is an integer number (66438186201).

Almost surely, 2132876372401 is an apocalyptic number.

It is an amenable number.

132876372401 is a deficient number, since it is larger than the sum of its proper divisors (1).

132876372401 is an equidigital number, since it uses as much as digits as its factorization.

132876372401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 132876372401 in words is "one hundred thirty-two billion, eight hundred seventy-six million, three hundred seventy-two thousand, four hundred one".