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232101132401 is a prime number
BaseRepresentation
bin1101100000101001001…
…1100011100001110001
3211012002112020011200002
43120022103203201301
512300320342214101
6254343100435345
722524453034205
oct3301223434161
9735075204602
10232101132401
118a485047096
1238b96248b55
1318b6baaa688
14b33b5ccb05
15608678ad6b
hex360a4e3871

232101132401 has 2 divisors, whose sum is σ = 232101132402. Its totient is φ = 232101132400.

The previous prime is 232101132359. The next prime is 232101132443. The reversal of 232101132401 is 104231101232.

It is a balanced prime because it is at equal distance from previous prime (232101132359) and next prime (232101132443).

It can be written as a sum of positive squares in only one way, i.e., 166692558400 + 65408574001 = 408280^2 + 255751^2 .

It is a cyclic number.

It is not a de Polignac number, because 232101132401 - 26 = 232101132337 is a prime.

It is not a weakly prime, because it can be changed into another prime (232101135401) 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, 116050566200 + 116050566201.

It is an arithmetic number, because the mean of its divisors is an integer number (116050566201).

Almost surely, 2232101132401 is an apocalyptic number.

It is an amenable number.

232101132401 is a deficient number, since it is larger than the sum of its proper divisors (1).

232101132401 is an equidigital number, since it uses as much as digits as its factorization.

232101132401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 232101132401 its reverse (104231101232), we get a palindrome (336332233633).

The spelling of 232101132401 in words is "two hundred thirty-two billion, one hundred one million, one hundred thirty-two thousand, four hundred one".