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21222311124 = 22371275873389
BaseRepresentation
bin10011110000111100…
…101100010011010100
32000210000112002220010
4103300330230103110
5321430402423444
613425511440220
71350623445120
oct236074542324
960700462803
1021222311124
119000494503
124143386070
1320029b1461
141054782580
158432122b9
hex4f0f2c4d4

21222311124 has 96 divisors (see below), whose sum is σ = 57152471040. Its totient is φ = 6003752832.

The previous prime is 21222311113. The next prime is 21222311137. The reversal of 21222311124 is 42111322212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21222311124.

It is a congruent 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, 6260422 + ... + 6263810.

It is an arithmetic number, because the mean of its divisors is an integer number (595338240).

Almost surely, 221222311124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222311124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28576235520).

21222311124 is an abundant number, since it is smaller than the sum of its proper divisors (35930159916).

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

21222311124 is a wasteful number, since it uses less digits than its factorization.

21222311124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4115 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

Adding to 21222311124 its reverse (42111322212), we get a palindrome (63333633336).

The spelling of 21222311124 in words is "twenty-one billion, two hundred twenty-two million, three hundred eleven thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 508 587 762 889 1174 1524 1761 1778 2348 2667 3389 3522 3556 4109 5334 6778 7044 8218 10167 10668 12327 13556 16436 20334 23723 24654 40668 47446 49308 71169 74549 94892 142338 149098 223647 284676 298196 430403 447294 521843 860806 894588 1043686 1291209 1565529 1721612 1989343 2087372 2582418 3012821 3131058 3978686 5164836 5968029 6025642 6262116 7957372 9038463 11936058 12051284 13925401 18076926 23872116 27850802 36153852 41776203 55701604 83552406 167104812 252646561 505293122 757939683 1010586244 1515879366 1768525927 3031758732 3537051854 5305577781 7074103708 10611155562 21222311124