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21220121002014 = 2341183143470319
BaseRepresentation
bin1001101001100101100011…
…10001100100000000011110
32210010121211201101102110000
410310302301301210000132
510240132301434031024
6113044220005355130
74320050244305244
oct464626161440036
983117751342400
1021220121002014
116841448109810
122468727708aa6
13bac08336139c
145350b8b68794
1526beb623ecc9
hex134cb1c6401e

21220121002014 has 80 divisors (see below), whose sum is σ = 52496363969280. Its totient is φ = 6352865681040.

The previous prime is 21220121002009. The next prime is 21220121002019. The reversal of 21220121002014 is 41020012102212.

It is an interprime number because it is at equal distance from previous prime (21220121002009) and next prime (21220121002019).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220121002019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71587254 + ... + 71883065.

It is an arithmetic number, because the mean of its divisors is an integer number (656204549616).

Almost surely, 221220121002014 is an apocalyptic number.

21220121002014 is an abundant number, since it is smaller than the sum of its proper divisors (31276242967266).

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

21220121002014 is a wasteful number, since it uses less digits than its factorization.

21220121002014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143470427 (or 143470418 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21220121002014 its reverse (41020012102212), we get a palindrome (62240133104226).

The spelling of 21220121002014 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty-one million, two thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 83 99 162 166 198 249 297 498 594 747 891 913 1494 1782 1826 2241 2739 4482 5478 6723 8217 13446 16434 24651 49302 73953 147906 143470319 286940638 430410957 860821914 1291232871 1578173509 2582465742 3156347018 3873698613 4734520527 7747397226 9469041054 11621095839 11908036477 14203561581 23242191678 23816072954 28407123162 35724109431 42610684743 71448218862 85221369486 107172328293 127832054229 130988401247 214344656586 255664108458 261976802494 321516984879 392965203741 643033969758 785930407482 964550954637 1178895611223 1929101909274 2357791222446 3536686833669 7073373667338 10610060501007 21220121002014