Search a number
-
+
1322008117 is a prime number
BaseRepresentation
bin100111011001100…
…0011111000110101
310102010120222012121
41032303003320311
510201413224432
6335103115541
744521612033
oct11663037065
93363528177
101322008117
1161926a2a1
1230a8a2bb1
13180b72431
14c780d553
157b0db197
hex4ecc3e35

1322008117 has 2 divisors, whose sum is σ = 1322008118. Its totient is φ = 1322008116.

The previous prime is 1322008081. The next prime is 1322008133. The reversal of 1322008117 is 7118002231.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1180540881 + 141467236 = 34359^2 + 11894^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1322008117 is a prime.

It is a super-2 number, since 2×13220081172 = 3495410922827771378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1322008091 and 1322008100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1322008517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 661004058 + 661004059.

It is an arithmetic number, because the mean of its divisors is an integer number (661004059).

Almost surely, 21322008117 is an apocalyptic number.

It is an amenable number.

1322008117 is a deficient number, since it is larger than the sum of its proper divisors (1).

1322008117 is an equidigital number, since it uses as much as digits as its factorization.

1322008117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 1322008117 is about 36359.4295472302. The cubic root of 1322008117 is about 1097.5172979979.

The spelling of 1322008117 in words is "one billion, three hundred twenty-two million, eight thousand, one hundred seventeen".