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22101313 = 132196883
BaseRepresentation
bin101010001001…
…1110101000001
31112120212022011
41110103311001
521124220223
62105412521
7355600213
oct124236501
945525264
1022101313
1111526053
12749a141
13476aa00
142d145b3
151e1880d
hex1513d41

22101313 has 12 divisors (see below), whose sum is σ = 25195440. Its totient is φ = 19324656.

The previous prime is 22101311. The next prime is 22101329. The reversal of 22101313 is 31310122.

It is not a de Polignac number, because 22101313 - 21 = 22101311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22101293 and 22101302.

It is not an unprimeable number, because it can be changed into a prime (22101311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231 + ... + 6652.

It is an arithmetic number, because the mean of its divisors is an integer number (2099620).

Almost surely, 222101313 is an apocalyptic number.

It is an amenable number.

22101313 is a deficient number, since it is larger than the sum of its proper divisors (3094127).

22101313 is a wasteful number, since it uses less digits than its factorization.

22101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6928 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 22101313 is about 4701.2033565886. The cubic root of 22101313 is about 280.6334002608.

Adding to 22101313 its reverse (31310122), we get a palindrome (53411435).

The spelling of 22101313 in words is "twenty-two million, one hundred one thousand, three hundred thirteen".

Divisors: 1 13 19 169 247 3211 6883 89479 130777 1163227 1700101 22101313