Search a number
-
+
2151510401 is a prime number
BaseRepresentation
bin1000000000111101…
…0111000110000001
312112221110001102102
42000033113012001
513401241313101
6553254200145
7104213352035
oct20017270601
95487401372
102151510401
11a04520677
12500653055
132839848a1
14165a581c5
15c8d3e86b
hex803d7181

2151510401 has 2 divisors, whose sum is σ = 2151510402. Its totient is φ = 2151510400.

The previous prime is 2151510379. The next prime is 2151510407. The reversal of 2151510401 is 1040151512.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2048467600 + 103042801 = 45260^2 + 10151^2 .

It is a cyclic number.

It is not a de Polignac number, because 2151510401 - 218 = 2151248257 is a prime.

It is a super-2 number, since 2×21515104012 = 9257994011222361602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2151510407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1075755200 + 1075755201.

It is an arithmetic number, because the mean of its divisors is an integer number (1075755201).

Almost surely, 22151510401 is an apocalyptic number.

It is an amenable number.

2151510401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2151510401 is an equidigital number, since it uses as much as digits as its factorization.

2151510401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 2151510401 is about 46384.3766908643. The cubic root of 2151510401 is about 1290.9650453542.

Adding to 2151510401 its reverse (1040151512), we get a palindrome (3191661913).

The spelling of 2151510401 in words is "two billion, one hundred fifty-one million, five hundred ten thousand, four hundred one".