Search a number
-
+
100101021000047 is a prime number
BaseRepresentation
bin10110110000101010010101…
…110011000110000101101111
3111010102120020021011001021222
4112300222111303012011233
5101110023342334000142
6552521435121213555
730041026421364254
oct2660522563060557
9433376207131258
10100101021000047
11299936717a9771
12b2882b94912bb
1343b1641336212
141aa0cb56c942b
15b88ccd487bd2
hex5b0a95cc616f

100101021000047 has 2 divisors, whose sum is σ = 100101021000048. Its totient is φ = 100101021000046.

The previous prime is 100101020999989. The next prime is 100101021000049. The reversal of 100101021000047 is 740000120101001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100101021000047 - 242 = 95702974488943 is a prime.

Together with 100101021000049, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100101020999989 and 100101021000034.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101021000049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050510500023 + 50050510500024.

It is an arithmetic number, because the mean of its divisors is an integer number (50050510500024).

Almost surely, 2100101021000047 is an apocalyptic number.

100101021000047 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101021000047 is an equidigital number, since it uses as much as digits as its factorization.

100101021000047 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 17.

Adding to 100101021000047 its reverse (740000120101001), we get a palindrome (840101141101048).

The spelling of 100101021000047 in words is "one hundred trillion, one hundred one billion, twenty-one million, forty-seven", and thus it is an aban number.