Search a number
-
+
131202222201329 is a prime number
BaseRepresentation
bin11101110101001111100101…
…110110010001100111110001
3122012112210212110011220220012
4131311033211312101213301
5114144104122340420304
61143013245132024305
736431022242621546
oct3565174566214761
9565483773156805
10131202222201329
1138894605aa8044
121286ba52902095
135829416375906
1424583158a2bcd
151027d0e3d916e
hex7753e5d919f1

131202222201329 has 2 divisors, whose sum is σ = 131202222201330. Its totient is φ = 131202222201328.

The previous prime is 131202222201221. The next prime is 131202222201409. The reversal of 131202222201329 is 923102222202131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120366176207104 + 10836045994225 = 10971152^2 + 3291815^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131202222201329 is a prime.

It is a super-2 number, since 2×1312022222013292 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131202222201295 and 131202222201304.

It is not a weakly prime, because it can be changed into another prime (131202222281329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65601111100664 + 65601111100665.

It is an arithmetic number, because the mean of its divisors is an integer number (65601111100665).

Almost surely, 2131202222201329 is an apocalyptic number.

It is an amenable number.

131202222201329 is a deficient number, since it is larger than the sum of its proper divisors (1).

131202222201329 is an equidigital number, since it uses as much as digits as its factorization.

131202222201329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 131202222201329 in words is "one hundred thirty-one trillion, two hundred two billion, two hundred twenty-two million, two hundred one thousand, three hundred twenty-nine".