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202113121010329 is a prime number
BaseRepresentation
bin101101111101001000100000…
…110010000100001010011001
3222111121211021220121122012201
4231331020200302010022121
5202442410132434312304
61553505252550210201
760400122360455524
oct5575104062041231
9874554256548181
10202113121010329
1159443769806521
121a802a63353961
1388a12547c3409
1437ca481d9dbbb
15185765d15d3a4
hexb7d220c84299

202113121010329 has 2 divisors, whose sum is σ = 202113121010330. Its totient is φ = 202113121010328.

The previous prime is 202113121010299. The next prime is 202113121010357. The reversal of 202113121010329 is 923010121311202.

It is an a-pointer prime, because the next prime (202113121010357) can be obtained adding 202113121010329 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118310173194304 + 83802947816025 = 10877048^2 + 9154395^2 .

It is a cyclic number.

It is not a de Polignac number, because 202113121010329 - 233 = 202104531075737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202113121010297 and 202113121010306.

It is not a weakly prime, because it can be changed into another prime (202113121010399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101056560505164 + 101056560505165.

It is an arithmetic number, because the mean of its divisors is an integer number (101056560505165).

Almost surely, 2202113121010329 is an apocalyptic number.

It is an amenable number.

202113121010329 is a deficient number, since it is larger than the sum of its proper divisors (1).

202113121010329 is an equidigital number, since it uses as much as digits as its factorization.

202113121010329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 202113121010329 in words is "two hundred two trillion, one hundred thirteen billion, one hundred twenty-one million, ten thousand, three hundred twenty-nine".