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202112121017 is a prime number
BaseRepresentation
bin1011110000111011010…
…0100011100010111001
3201022200112121112211202
42330032310203202321
511302411200333032
6232503220103545
720413345453142
oct2741664434271
9638615545752
10202112121017
1178796028a64
1233206b34bb5
131609ca92121
149ad4804ac9
1553cdad2d62
hex2f0ed238b9

202112121017 has 2 divisors, whose sum is σ = 202112121018. Its totient is φ = 202112121016.

The previous prime is 202112120939. The next prime is 202112121031. The reversal of 202112121017 is 710121211202.

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., 144634935481 + 57477185536 = 380309^2 + 239744^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-202112121017 is a prime.

It is a super-2 number, since 2×2021121210172 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202112121017.

It is not a weakly prime, because it can be changed into another prime (202112121077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101056060508 + 101056060509.

It is an arithmetic number, because the mean of its divisors is an integer number (101056060509).

Almost surely, 2202112121017 is an apocalyptic number.

It is an amenable number.

202112121017 is a deficient number, since it is larger than the sum of its proper divisors (1).

202112121017 is an equidigital number, since it uses as much as digits as its factorization.

202112121017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 112, while the sum is 20.

Adding to 202112121017 its reverse (710121211202), we get a palindrome (912233332219).

The spelling of 202112121017 in words is "two hundred two billion, one hundred twelve million, one hundred twenty-one thousand, seventeen".