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10211201 = 711131012
BaseRepresentation
bin100110111100…
…111110000001
3201012210010122
4212330332001
510103224301
61002510025
7152536160
oct46747601
921183118
1010211201
115844910
123505315
132166a40
1414db3d7
15d6a81b
hex9bcf81

10211201 has 24 divisors (see below), whose sum is σ = 13847232. Its totient is φ = 7272000.

The previous prime is 10211197. The next prime is 10211207.

10211201 is nontrivially palindromic in base 10.

10211201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10211201 - 22 = 10211197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10211207) 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 23 ways as a sum of consecutive naturals, for example, 101051 + ... + 101151.

It is an arithmetic number, because the mean of its divisors is an integer number (576968).

Almost surely, 210211201 is an apocalyptic number.

10211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211201 is a deficient number, since it is larger than the sum of its proper divisors (3636031).

10211201 is a wasteful number, since it uses less digits than its factorization.

10211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 10211201 is about 3195.4969879504. The cubic root of 10211201 is about 216.9496439322.

It can be divided in two parts, 1021 and 1201, that multiplied together give a palindrome (1226221).

The spelling of 10211201 in words is "ten million, two hundred eleven thousand, two hundred one".

Divisors: 1 7 11 13 77 91 101 143 707 1001 1111 1313 7777 9191 10201 14443 71407 101101 112211 132613 785477 928291 1458743 10211201