Search a number
-
+
10121202211249 is a prime number
BaseRepresentation
bin1001001101001000011010…
…1010011001100110110001
31022211120120222120112010101
42103102012222121212301
52311311210231224444
633305341025032401
72063142553214623
oct223220652314661
938746528515111
1010121202211249
113252417875258
121175682185701
1358556b42c69c
1426dc23dbcc13
1512842071e3d4
hex93486a999b1

10121202211249 has 2 divisors, whose sum is σ = 10121202211250. Its totient is φ = 10121202211248.

The previous prime is 10121202211207. The next prime is 10121202211259. The reversal of 10121202211249 is 94211220212101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10020662484849 + 100539726400 = 3165543^2 + 317080^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121202211249 - 211 = 10121202209201 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121202211259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060601105624 + 5060601105625.

It is an arithmetic number, because the mean of its divisors is an integer number (5060601105625).

Almost surely, 210121202211249 is an apocalyptic number.

It is an amenable number.

10121202211249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121202211249 is an equidigital number, since it uses as much as digits as its factorization.

10121202211249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 28.

The spelling of 10121202211249 in words is "ten trillion, one hundred twenty-one billion, two hundred two million, two hundred eleven thousand, two hundred forty-nine".