Search a number
-
+
1167159401 is a prime number
BaseRepresentation
bin100010110010001…
…0111000001101001
310000100012211200222
41011210113001221
54342243100101
6311452135425
740631456042
oct10544270151
93010184628
101167159401
11549916151
12286a67575
13157a66585
14b10218c9
156c70001b
hex45917069

1167159401 has 2 divisors, whose sum is σ = 1167159402. Its totient is φ = 1167159400.

The previous prime is 1167159377. The next prime is 1167159407. The reversal of 1167159401 is 1049517611.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1121245225 + 45914176 = 33485^2 + 6776^2 .

It is a cyclic number.

It is not a de Polignac number, because 1167159401 - 226 = 1100050537 is a prime.

It is a super-3 number, since 3×11671594013 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1167159407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 583579700 + 583579701.

It is an arithmetic number, because the mean of its divisors is an integer number (583579701).

Almost surely, 21167159401 is an apocalyptic number.

It is an amenable number.

1167159401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1167159401 is an equidigital number, since it uses as much as digits as its factorization.

1167159401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 35.

The square root of 1167159401 is about 34163.7146838572. The cubic root of 1167159401 is about 1052.8747829040.

It can be divided in two parts, 116 and 7159401, that added together give a palindrome (7159517).

The spelling of 1167159401 in words is "one billion, one hundred sixty-seven million, one hundred fifty-nine thousand, four hundred one".