Search a number
-
+
10537356121 is a prime number
BaseRepresentation
bin10011101000001001…
…10100101101011001
31000012100220011010221
421310010310231121
5133040030343441
64501340040041
7522061022605
oct116404645531
930170804127
1010537356121
114518076686
122060b33021
13cbc121886
1471d680505
1541a1548d1
hex274134b59

10537356121 has 2 divisors, whose sum is σ = 10537356122. Its totient is φ = 10537356120.

The previous prime is 10537356119. The next prime is 10537356131. The reversal of 10537356121 is 12165373501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9012844096 + 1524512025 = 94936^2 + 39045^2 .

It is an emirp because it is prime and its reverse (12165373501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10537356121 - 21 = 10537356119 is a prime.

It is a super-2 number, since 2×105373561212 (a number of 21 digits) contains 22 as substring.

Together with 10537356119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10537356131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5268678060 + 5268678061.

It is an arithmetic number, because the mean of its divisors is an integer number (5268678061).

Almost surely, 210537356121 is an apocalyptic number.

It is an amenable number.

10537356121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10537356121 is an equidigital number, since it uses as much as digits as its factorization.

10537356121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18900, while the sum is 34.

The spelling of 10537356121 in words is "ten billion, five hundred thirty-seven million, three hundred fifty-six thousand, one hundred twenty-one".