Search a number
-
+
1009288379401 is a prime number
BaseRepresentation
bin11101010111111100100…
…01100111110000001001
310120111011001010222122221
432223332101213300021
5113014010311120101
62051354412414041
7132630051450241
oct16537621476011
93514131128587
101009288379401
1135a044a83905
12143734777321
1374238708523
1436bc7c88b21
151b3c1e08aa1
hexeafe467c09

1009288379401 has 2 divisors, whose sum is σ = 1009288379402. Its totient is φ = 1009288379400.

The previous prime is 1009288379387. The next prime is 1009288379447. The reversal of 1009288379401 is 1049738829001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 998152853776 + 11135525625 = 999076^2 + 105525^2 .

It is a cyclic number.

It is not a de Polignac number, because 1009288379401 - 225 = 1009254824969 is a prime.

It is a super-2 number, since 2×10092883794012 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1009288379461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 504644189700 + 504644189701.

It is an arithmetic number, because the mean of its divisors is an integer number (504644189701).

Almost surely, 21009288379401 is an apocalyptic number.

It is an amenable number.

1009288379401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009288379401 is an equidigital number, since it uses as much as digits as its factorization.

1009288379401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 1009288379401 in words is "one trillion, nine billion, two hundred eighty-eight million, three hundred seventy-nine thousand, four hundred one".