Search a number
-
+
10203137 = 74173487
BaseRepresentation
bin100110111011…
…000000000001
3201012101001222
4212323000001
510103000022
61002404425
7152503520
oct46730001
921171058
1010203137
11583984a
123500715
132163179
1414d84b7
15d68242
hex9bb001

10203137 has 16 divisors (see below), whose sum is σ = 12133632. Its totient is φ = 8398080.

The previous prime is 10203119. The next prime is 10203181. The reversal of 10203137 is 73130201.

10203137 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10203137 - 214 = 10186753 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10203187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20708 + ... + 21194.

It is an arithmetic number, because the mean of its divisors is an integer number (758352).

It is a Proth number, since it is equal to 2491 ⋅ 212 + 1 and 2491 < 212.

Almost surely, 210203137 is an apocalyptic number.

It is an amenable number.

10203137 is a deficient number, since it is larger than the sum of its proper divisors (1930495).

10203137 is an equidigital number, since it uses as much as digits as its factorization.

10203137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 10203137 is about 3194.2349631798. The cubic root of 10203137 is about 216.8925189944.

Adding to 10203137 its reverse (73130201), we get a palindrome (83333338).

The spelling of 10203137 in words is "ten million, two hundred three thousand, one hundred thirty-seven".

Divisors: 1 7 41 73 287 487 511 2993 3409 19967 20951 35551 139769 248857 1457591 10203137