Search a number
-
+
34010403442501 is a prime number
BaseRepresentation
bin1111011101110101010100…
…00001000000111101000101
311110102100210111022002121111
413232322222001000331011
513424211301240130001
6200200055203045021
710110112334244433
oct756725201007505
9143370714262544
1034010403442501
11a922805103a92
12399353b370771
1315c92236a0605
1485818026bd53
153dea4e285851
hex1eeeaa040f45

34010403442501 has 2 divisors, whose sum is σ = 34010403442502. Its totient is φ = 34010403442500.

The previous prime is 34010403442469. The next prime is 34010403442507. The reversal of 34010403442501 is 10524430401043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17305608320001 + 16704795122500 = 4160001^2 + 4087150^2 .

It is a cyclic number.

It is not a de Polignac number, because 34010403442501 - 25 = 34010403442469 is a prime.

It is a super-2 number, since 2×340104034425012 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34010403442507) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17005201721250 + 17005201721251.

It is an arithmetic number, because the mean of its divisors is an integer number (17005201721251).

Almost surely, 234010403442501 is an apocalyptic number.

It is an amenable number.

34010403442501 is a deficient number, since it is larger than the sum of its proper divisors (1).

34010403442501 is an equidigital number, since it uses as much as digits as its factorization.

34010403442501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 34010403442501 its reverse (10524430401043), we get a palindrome (44534833843544).

The spelling of 34010403442501 in words is "thirty-four trillion, ten billion, four hundred three million, four hundred forty-two thousand, five hundred one".