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100215461131 is a prime number
BaseRepresentation
bin101110101010101001…
…1101001010100001011
3100120200012001220100121
41131111103221110023
53120220124224011
6114012141044111
710145301236032
oct1352523512413
9316605056317
10100215461131
1139557019255
1217509b56637
1395b134b236
144bc9909719
1529180e9e71
hex17554e950b

100215461131 has 2 divisors, whose sum is σ = 100215461132. Its totient is φ = 100215461130.

The previous prime is 100215461053. The next prime is 100215461147. The reversal of 100215461131 is 131164512001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100215461131 - 215 = 100215428363 is a prime.

It is a super-3 number, since 3×1002154611313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 100215461096 and 100215461105.

It is not a weakly prime, because it can be changed into another prime (100215461191) 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, 50107730565 + 50107730566.

It is an arithmetic number, because the mean of its divisors is an integer number (50107730566).

Almost surely, 2100215461131 is an apocalyptic number.

100215461131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100215461131 is an equidigital number, since it uses as much as digits as its factorization.

100215461131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 25.

Adding to 100215461131 its reverse (131164512001), we get a palindrome (231379973132).

The spelling of 100215461131 in words is "one hundred billion, two hundred fifteen million, four hundred sixty-one thousand, one hundred thirty-one".