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213101301 = 3712779903
BaseRepresentation
bin11001011001110…
…10101011110101
3112211222200000210
430230322223311
5414023220201
633051300033
75165221410
oct1454725365
9484880023
10213101301
11aa321186
125b44a619
13351c365a
1420432b77
1513a961d6
hexcb3aaf5

213101301 has 16 divisors (see below), whose sum is σ = 327286784. Its totient is φ = 120811824.

The previous prime is 213101293. The next prime is 213101327. The reversal of 213101301 is 103101312.

It is not a de Polignac number, because 213101301 - 23 = 213101293 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213101351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37285 + ... + 42618.

It is an arithmetic number, because the mean of its divisors is an integer number (20455424).

Almost surely, 2213101301 is an apocalyptic number.

213101301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213101301 is a deficient number, since it is larger than the sum of its proper divisors (114185483).

213101301 is a wasteful number, since it uses less digits than its factorization.

213101301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80040.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 213101301 is about 14597.9896218623. The cubic root of 213101301 is about 597.3039228703.

Adding to 213101301 its reverse (103101312), we get a palindrome (316202613).

The spelling of 213101301 in words is "two hundred thirteen million, one hundred one thousand, three hundred one".

Divisors: 1 3 7 21 127 381 889 2667 79903 239709 559321 1677963 10147681 30443043 71033767 213101301