Search a number
-
+
202201210198153 is a prime number
BaseRepresentation
bin101101111110011010100011…
…010011101001100010001001
3222111221020122222222000210201
4231332122203103221202021
5203000331034302320103
61554013541551212201
760406361325301225
oct5576324323514211
9874836588860721
10202201210198153
11594780628670a1
121a817b48217061
1388a96527976aa
1437d083b1bb785
151859ab689351d
hexb7e6a34e9889

202201210198153 has 2 divisors, whose sum is σ = 202201210198154. Its totient is φ = 202201210198152.

The previous prime is 202201210198109. The next prime is 202201210198193. The reversal of 202201210198153 is 351891012102202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155937856050064 + 46263354148089 = 12487508^2 + 6801717^2 .

It is a cyclic number.

It is not a de Polignac number, because 202201210198153 - 29 = 202201210197641 is a prime.

It is a super-2 number, since 2×2022012101981532 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (202201210198193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101100605099076 + 101100605099077.

It is an arithmetic number, because the mean of its divisors is an integer number (101100605099077).

Almost surely, 2202201210198153 is an apocalyptic number.

It is an amenable number.

202201210198153 is a deficient number, since it is larger than the sum of its proper divisors (1).

202201210198153 is an equidigital number, since it uses as much as digits as its factorization.

202201210198153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 202201210198153 in words is "two hundred two trillion, two hundred one billion, two hundred ten million, one hundred ninety-eight thousand, one hundred fifty-three".