Search a number
-
+
30102072940801 is a prime number
BaseRepresentation
bin1101101100000101011110…
…10111010101100100000001
310221120201201012221101221001
412312002233113111210001
512421143021133101201
6144004411300332001
76224542300152001
oct666025727254401
9127521635841831
1030102072940801
119656243463274
123461b973a4001
1313a47c8554284
14760d3b852001
15373055ed3301
hex1b60af5d5901

30102072940801 has 2 divisors, whose sum is σ = 30102072940802. Its totient is φ = 30102072940800.

The previous prime is 30102072940799. The next prime is 30102072940867. The reversal of 30102072940801 is 10804927020103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16963071890625 + 13139001050176 = 4118625^2 + 3624776^2 .

It is a cyclic number.

It is not a de Polignac number, because 30102072940801 - 21 = 30102072940799 is a prime.

It is a super-2 number, since 2×301020729408012 (a number of 28 digits) contains 22 as substring.

Together with 30102072940799, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (30102072947801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15051036470400 + 15051036470401.

It is an arithmetic number, because the mean of its divisors is an integer number (15051036470401).

Almost surely, 230102072940801 is an apocalyptic number.

It is an amenable number.

30102072940801 is a deficient number, since it is larger than the sum of its proper divisors (1).

30102072940801 is an equidigital number, since it uses as much as digits as its factorization.

30102072940801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24192, while the sum is 37.

Adding to 30102072940801 its reverse (10804927020103), we get a palindrome (40906999960904).

The spelling of 30102072940801 in words is "thirty trillion, one hundred two billion, seventy-two million, nine hundred forty thousand, eight hundred one".