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10629121 is a prime number
BaseRepresentation
bin101000100011…
…000000000001
3202000000102011
4220203000001
510210112441
61015452521
7156226456
oct50430001
922000364
1010629121
115aaa8a8
123687141
132282029
1415a982d
15dee581
hexa23001

10629121 has 2 divisors, whose sum is σ = 10629122. Its totient is φ = 10629120.

The previous prime is 10629107. The next prime is 10629149. The reversal of 10629121 is 12192601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10627600 + 1521 = 3260^2 + 39^2 .

It is an emirp because it is prime and its reverse (12192601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10629121 - 211 = 10627073 is a prime.

It is a super-2 number, since 2×106291212 = 225956426465282, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10629092 and 10629101.

It is not a weakly prime, because it can be changed into another prime (10639121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5314560 + 5314561.

It is an arithmetic number, because the mean of its divisors is an integer number (5314561).

It is a Proth number, since it is equal to 2595 ⋅ 212 + 1 and 2595 < 212.

Almost surely, 210629121 is an apocalyptic number.

It is an amenable number.

10629121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10629121 is an equidigital number, since it uses as much as digits as its factorization.

10629121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 10629121 is about 3260.2332738625. The cubic root of 10629121 is about 219.8699024205.

The spelling of 10629121 in words is "ten million, six hundred twenty-nine thousand, one hundred twenty-one".