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101132141233 is a prime number
BaseRepresentation
bin101111000101111110…
…0100000001010110001
3100200001001222002001111
41132023330200022301
53124104312004413
6114243124433321
710210102005544
oct1361374401261
9320031862044
10101132141233
1139987503612
1217724b48841
1396c9234bb6
144c7556885b
15296d81dd3d
hex178bf202b1

101132141233 has 2 divisors, whose sum is σ = 101132141234. Its totient is φ = 101132141232.

The previous prime is 101132141221. The next prime is 101132141261. The reversal of 101132141233 is 332141231101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94883713024 + 6248428209 = 308032^2 + 79047^2 .

It is an emirp because it is prime and its reverse (332141231101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101132141233 - 29 = 101132140721 is a prime.

It is a super-3 number, since 3×1011321412333 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101132141203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50566070616 + 50566070617.

It is an arithmetic number, because the mean of its divisors is an integer number (50566070617).

Almost surely, 2101132141233 is an apocalyptic number.

It is an amenable number.

101132141233 is a deficient number, since it is larger than the sum of its proper divisors (1).

101132141233 is an equidigital number, since it uses as much as digits as its factorization.

101132141233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 101132141233 its reverse (332141231101), we get a palindrome (433273372334).

The spelling of 101132141233 in words is "one hundred one billion, one hundred thirty-two million, one hundred forty-one thousand, two hundred thirty-three".