Search a number
-
+
10055001 = 311535749
BaseRepresentation
bin100110010110…
…110101011001
3200220211212110
4212112311121
510033230001
6555302533
7151315605
oct46266531
920824773
1010055001
115748520
12344aa49
132110908
14149a505
15d393d6
hex996d59

10055001 has 16 divisors (see below), whose sum is σ = 14904000. Its totient is φ = 5977920.

The previous prime is 10054997. The next prime is 10055011.

10055001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10055001 - 22 = 10054997 is a prime.

It is a super-2 number, since 2×100550012 = 202206090220002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10055011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1126 + ... + 4623.

It is an arithmetic number, because the mean of its divisors is an integer number (931500).

Almost surely, 210055001 is an apocalyptic number.

10055001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10055001 is a deficient number, since it is larger than the sum of its proper divisors (4848999).

10055001 is a wasteful number, since it uses less digits than its factorization.

10055001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5816.

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 10055001 is about 3170.9621568224. The cubic root of 10055001 is about 215.8377339267.

It can be divided in two parts, 1005 and 5001, that added together give a palindrome (6006).

The spelling of 10055001 in words is "ten million, fifty-five thousand, one".

Divisors: 1 3 11 33 53 159 583 1749 5749 17247 63239 189717 304697 914091 3351667 10055001