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100151515153 is a prime number
BaseRepresentation
bin101110101000101111…
…1101101100000010001
3100120111201202002222001
41131101133231200101
53120102241441103
6114001534314001
710143563555434
oct1352137554021
9316451662861
10100151515153
1139523a12738
12174b0658901
1395a101c191
144bc122181b
1529126b801d
hex17517ed811

100151515153 has 2 divisors, whose sum is σ = 100151515154. Its totient is φ = 100151515152.

The previous prime is 100151515151. The next prime is 100151515181. The reversal of 100151515153 is 351515151001.

It is an a-pointer prime, because the next prime (100151515181) can be obtained adding 100151515153 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71039307024 + 29112208129 = 266532^2 + 170623^2 .

It is a cyclic number.

It is not a de Polignac number, because 100151515153 - 21 = 100151515151 is a prime.

It is a super-2 number, since 2×1001515151532 (a number of 23 digits) contains 22 as substring.

Together with 100151515151, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (100151515151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50075757576 + 50075757577.

It is an arithmetic number, because the mean of its divisors is an integer number (50075757577).

Almost surely, 2100151515153 is an apocalyptic number.

It is an amenable number.

100151515153 is a deficient number, since it is larger than the sum of its proper divisors (1).

100151515153 is an equidigital number, since it uses as much as digits as its factorization.

100151515153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1875, while the sum is 28.

Adding to 100151515153 its reverse (351515151001), we get a palindrome (451666666154).

The spelling of 100151515153 in words is "one hundred billion, one hundred fifty-one million, five hundred fifteen thousand, one hundred fifty-three".