Search a number
-
+
10103130202129 is a prime number
BaseRepresentation
bin1001001100000101000101…
…1111001010000000010001
31022202211221111220100011021
42103001101133022000101
52311012202312432004
633253151451115441
72061632661530446
oct223012137120021
938684844810137
1010103130202129
11324579367a328
121172079a42b81
1358394b308c73
1426cdcbba99cd
15127c13d8ed54
hex930517ca011

10103130202129 has 2 divisors, whose sum is σ = 10103130202130. Its totient is φ = 10103130202128.

The previous prime is 10103130202057. The next prime is 10103130202153. The reversal of 10103130202129 is 92120203130101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9939895617600 + 163234584529 = 3152760^2 + 404023^2 .

It is a cyclic number.

It is not a de Polignac number, because 10103130202129 - 215 = 10103130169361 is a prime.

It is a super-2 number, since 2×101031302021292 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10103130202159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051565101064 + 5051565101065.

It is an arithmetic number, because the mean of its divisors is an integer number (5051565101065).

Almost surely, 210103130202129 is an apocalyptic number.

It is an amenable number.

10103130202129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103130202129 is an equidigital number, since it uses as much as digits as its factorization.

10103130202129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 10103130202129 in words is "ten trillion, one hundred three billion, one hundred thirty million, two hundred two thousand, one hundred twenty-nine".