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202111200917 is a prime number
BaseRepresentation
bin1011110000111011000…
…1000010111010010101
3201022200110212210200222
42330032301002322111
511302410431412132
6232503144244125
720413334601503
oct2741661027225
9638613783628
10202111200917
117879555a74a
1233206770645
131609c82c3a2
149ad4645673
1553cd9a0412
hex2f0ec42e95

202111200917 has 2 divisors, whose sum is σ = 202111200918. Its totient is φ = 202111200916.

The previous prime is 202111200911. The next prime is 202111200919. The reversal of 202111200917 is 719002111202.

202111200917 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 170184301156 + 31926899761 = 412534^2 + 178681^2 .

It is a cyclic number.

It is not a de Polignac number, because 202111200917 - 24 = 202111200901 is a prime.

It is a super-2 number, since 2×2021112009172 (a number of 23 digits) contains 22 as substring.

Together with 202111200919, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202111200911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101055600458 + 101055600459.

It is an arithmetic number, because the mean of its divisors is an integer number (101055600459).

Almost surely, 2202111200917 is an apocalyptic number.

It is an amenable number.

202111200917 is a deficient number, since it is larger than the sum of its proper divisors (1).

202111200917 is an equidigital number, since it uses as much as digits as its factorization.

202111200917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 26.

The spelling of 202111200917 in words is "two hundred two billion, one hundred eleven million, two hundred thousand, nine hundred seventeen".