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10357121 is a prime number
BaseRepresentation
bin100111100000…
…100110000001
3201111012022002
4213200212001
510122411441
61005553345
7154014455
oct47404601
921435262
1010357121
115934505
123575855
1321b8298
141538665
15d98b9b
hex9e0981

10357121 has 2 divisors, whose sum is σ = 10357122. Its totient is φ = 10357120.

The previous prime is 10357117. The next prime is 10357141. The reversal of 10357121 is 12175301.

10357121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10357141) can be obtained adding 10357121 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6574096 + 3783025 = 2564^2 + 1945^2 .

It is a cyclic number.

It is not a de Polignac number, because 10357121 - 22 = 10357117 is a prime.

It is a super-3 number, since 3×103571213 (a number of 22 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10357093 and 10357102.

It is not a weakly prime, because it can be changed into another prime (10357111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5178560 + 5178561.

It is an arithmetic number, because the mean of its divisors is an integer number (5178561).

Almost surely, 210357121 is an apocalyptic number.

It is an amenable number.

10357121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10357121 is an equidigital number, since it uses as much as digits as its factorization.

10357121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 10357121 is about 3218.2481259219. The cubic root of 10357121 is about 217.9781772617.

The spelling of 10357121 in words is "ten million, three hundred fifty-seven thousand, one hundred twenty-one".