Search a number
-
+
100100110000069 is a prime number
BaseRepresentation
bin10110110000101001011111…
…011111111001111111000101
3111010102110212202221110021001
4112300221133133321333011
5101110020011130000234
6552521204455253301
730040665020122534
oct2660513737717705
9433373782843231
10100100110000069
1129993244543a23
12b2880a437a231
1343b152768aa8a
141aa0c2a70831b
15b88c784d6d14
hex5b0a5f7f9fc5

100100110000069 has 2 divisors, whose sum is σ = 100100110000070. Its totient is φ = 100100110000068.

The previous prime is 100100110000067. The next prime is 100100110000103. The reversal of 100100110000069 is 960000011001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50945119632225 + 49154990367844 = 7137585^2 + 7011062^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100110000069 - 21 = 100100110000067 is a prime.

It is a super-3 number, since 3×1001001100000693 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 100100110000067, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100110000063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050055000034 + 50050055000035.

It is an arithmetic number, because the mean of its divisors is an integer number (50050055000035).

Almost surely, 2100100110000069 is an apocalyptic number.

It is an amenable number.

100100110000069 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100110000069 is an equidigital number, since it uses as much as digits as its factorization.

100100110000069 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 19.

The spelling of 100100110000069 in words is "one hundred trillion, one hundred billion, one hundred ten million, sixty-nine", and thus it is an aban number.