Search a number
-
+
153572101681 is a prime number
BaseRepresentation
bin1000111100000110011…
…1000100111000110001
3112200101201000002011211
42033001213010320301
510004003424223211
6154314451040121
714044442216605
oct2170147047061
9480351002154
10153572101681
115a1474a1aa9
122591aba0041
13116356420ab
14760bd5b505
153edc4cee21
hex23c19c4e31

153572101681 has 2 divisors, whose sum is σ = 153572101682. Its totient is φ = 153572101680.

The previous prime is 153572101633. The next prime is 153572101687. The reversal of 153572101681 is 186101275351.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126564466081 + 27007635600 = 355759^2 + 164340^2 .

It is an emirp because it is prime and its reverse (186101275351) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 153572101681 - 215 = 153572068913 is a prime.

It is a super-2 number, since 2×1535721016812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (153572101687) 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, 76786050840 + 76786050841.

It is an arithmetic number, because the mean of its divisors is an integer number (76786050841).

Almost surely, 2153572101681 is an apocalyptic number.

It is an amenable number.

153572101681 is a deficient number, since it is larger than the sum of its proper divisors (1).

153572101681 is an equidigital number, since it uses as much as digits as its factorization.

153572101681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 40.

The spelling of 153572101681 in words is "one hundred fifty-three billion, five hundred seventy-two million, one hundred one thousand, six hundred eighty-one".