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135320022001 is a prime number
BaseRepresentation
bin111111000000110110…
…0111010101111110001
3110221021200111100211201
41332001230322233301
54204113411201001
6142055401411201
712530233131403
oct1760154725761
9427250440751
10135320022001
115243069642a
1222286499b01
13c9b7121648
146799c72b73
1537bee31501
hex1f81b3abf1

135320022001 has 2 divisors, whose sum is σ = 135320022002. Its totient is φ = 135320022000.

The previous prime is 135320021989. The next prime is 135320022029. The reversal of 135320022001 is 100220023531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 131460630625 + 3859391376 = 362575^2 + 62124^2 .

It is an emirp because it is prime and its reverse (100220023531) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 135320022001 - 211 = 135320019953 is a prime.

It is a super-2 number, since 2×1353200220012 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135320022001.

It is not a weakly prime, because it can be changed into another prime (135320022601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67660011000 + 67660011001.

It is an arithmetic number, because the mean of its divisors is an integer number (67660011001).

Almost surely, 2135320022001 is an apocalyptic number.

It is an amenable number.

135320022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

135320022001 is an equidigital number, since it uses as much as digits as its factorization.

135320022001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 135320022001 its reverse (100220023531), we get a palindrome (235540045532).

The spelling of 135320022001 in words is "one hundred thirty-five billion, three hundred twenty million, twenty-two thousand, one".