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21202410301314 = 23111076014995547
BaseRepresentation
bin1001101001000100100100…
…01000100110011110000010
32210001221010102120121110020
410310202102020212132002
510234340014014120224
6113032130335514310
74315552330654314
oct464422210463602
983057112517406
1021202410301314
116834989962190
122465204388996
13baa4c0053128
145342b89277b4
1526b7cb47ec79
hex134892226782

21202410301314 has 64 divisors (see below), whose sum is σ = 46769839022592. Its totient is φ = 6354334512000.

The previous prime is 21202410301309. The next prime is 21202410301321. The reversal of 21202410301314 is 41310301420212.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1746489 + ... + 6742035.

It is an arithmetic number, because the mean of its divisors is an integer number (730778734728).

Almost surely, 221202410301314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21202410301314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23384919511296).

21202410301314 is an abundant number, since it is smaller than the sum of its proper divisors (25567428721278).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21202410301314 is a wasteful number, since it uses less digits than its factorization.

21202410301314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996271.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 21202410301314 its reverse (41310301420212), we get a palindrome (62512711721526).

The spelling of 21202410301314 in words is "twenty-one trillion, two hundred two billion, four hundred ten million, three hundred one thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 107 214 321 601 642 1177 1202 1803 2354 3531 3606 6611 7062 13222 19833 39666 64307 128614 192921 385842 707377 1414754 2122131 4244262 4995547 9991094 14986641 29973282 54951017 109902034 164853051 329706102 534523529 1069047058 1603570587 3002323747 3207141174 5879758819 6004647494 9006971241 11759517638 17639276457 18013942482 33025561217 35278552914 66051122434 99076683651 198153367302 321248640929 642497281858 963745922787 1927491845574 3533735050219 7067470100438 10601205150657 21202410301314