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202122102021233 is a prime number
BaseRepresentation
bin101101111101010000111000…
…000101111001110001110001
3222111122200110210222021002012
4231331100320011321301301
5202443032031104134413
61553513340052332305
760400561053011012
oct5575207005716161
9874580423867065
10202122102021233
1159447558307989
121a80474b014095
1388a2056355454
1437caa94a71009
1518579d68387a8
hexb7d438179c71

202122102021233 has 2 divisors, whose sum is σ = 202122102021234. Its totient is φ = 202122102021232.

The previous prime is 202122102021149. The next prime is 202122102021239. The reversal of 202122102021233 is 332120201221202.

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., 197862286720609 + 4259815300624 = 14066353^2 + 2063932^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202122102021233 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202122102021199 and 202122102021208.

It is not a weakly prime, because it can be changed into another prime (202122102021239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101061051010616 + 101061051010617.

It is an arithmetic number, because the mean of its divisors is an integer number (101061051010617).

Almost surely, 2202122102021233 is an apocalyptic number.

It is an amenable number.

202122102021233 is a deficient number, since it is larger than the sum of its proper divisors (1).

202122102021233 is an equidigital number, since it uses as much as digits as its factorization.

202122102021233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 202122102021233 its reverse (332120201221202), we get a palindrome (534242303242435).

The spelling of 202122102021233 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred two million, twenty-one thousand, two hundred thirty-three".