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21313112220121 = 97347317632629
BaseRepresentation
bin1001101100010010110000…
…11110111010000111011001
32210110111212102202202102011
410312021120132322013121
510243143223212020441
6113155035242105521
74326551534520301
oct466113036720731
983414772682364
1021313112220121
116877927242287
12248275a1ab2a1
13bb7a82ab18b7
145397bb024601
1526e609ec8581
hex1362587ba1d9

21313112220121 has 8 divisors (see below), whose sum is σ = 21532931061320. Its totient is φ = 21093295339008.

The previous prime is 21313112220119. The next prime is 21313112220137. The reversal of 21313112220121 is 12102221131312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6580066346896 + 14733045873225 = 2565164^2 + 3838365^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21313112220121 - 21 = 21313112220119 is a prime.

It is a super-2 number, since 2×213131122201212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21313112220092 and 21313112220101.

It is not an unprimeable number, because it can be changed into a prime (21313112220221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33373435 + ... + 34006063.

It is an arithmetic number, because the mean of its divisors is an integer number (2691616382665).

Almost surely, 221313112220121 is an apocalyptic number.

It is an amenable number.

21313112220121 is a deficient number, since it is larger than the sum of its proper divisors (219818841199).

21313112220121 is an equidigital number, since it uses as much as digits as its factorization.

21313112220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980043.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 21313112220121 its reverse (12102221131312), we get a palindrome (33415333351433).

The spelling of 21313112220121 in words is "twenty-one trillion, three hundred thirteen billion, one hundred twelve million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 97 347317 632629 33689749 61365013 219722806393 21313112220121