Search a number
-
+
21010001002220 = 22529102141538543
BaseRepresentation
bin1001100011011110001011…
…01001010111111011101100
32202101112111002112111001102
410301233011221113323230
510223211440224032340
6112403510004502232
74265631260625536
oct461570551277354
982345432474042
1021010001002220
116770322921a1a
122433a669aa978
13b9530852ac69
14528c64a08856
152667b9607215
hex131bc5a57eec

21010001002220 has 96 divisors (see below), whose sum is σ = 45703469790720. Its totient is φ = 8103359416320.

The previous prime is 21010001002187. The next prime is 21010001002229. The reversal of 21010001002220 is 2220010001012.

It is a happy number.

It is a super-2 number, since 2×210100010022202 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21010001002229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2459319269 + ... + 2459327811.

It is an arithmetic number, because the mean of its divisors is an integer number (476077810320).

Almost surely, 221010001002220 is an apocalyptic number.

21010001002220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21010001002220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22851734895360).

21010001002220 is an abundant number, since it is smaller than the sum of its proper divisors (24693468788500).

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

21010001002220 is a wasteful number, since it uses less digits than its factorization.

21010001002220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13755 (or 13753 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21010001002220 its reverse (2220010001012), we get a palindrome (23230011003232).

The spelling of 21010001002220 in words is "twenty-one trillion, ten billion, one million, two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1021 2042 4084 4153 5105 8306 8543 10210 16612 17086 20420 20765 29609 34172 41530 42715 59218 83060 85430 118436 120437 148045 170860 240874 247747 296090 481748 495494 592180 602185 990988 1204370 1238735 2408740 2477470 4240213 4954940 8480426 8722403 16960852 17444806 21201065 34889612 35479079 42402130 43612015 70958158 84804260 87224030 122966177 141916316 174448060 177395395 245932354 252949687 354790790 491864708 505899374 614830885 709581580 1011798748 1028893291 1229661770 1264748435 2057786582 2459323540 2529496870 4115573164 5058993740 5144466455 10288932910 20577865820 36224139659 72448279318 144896558636 181120698295 362241396590 724482793180 1050500050111 2101000100222 4202000200444 5252500250555 10505000501110 21010001002220