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21114414012 = 22319433536101
BaseRepresentation
bin10011101010100001…
…000110001110111100
32000111111111100212210
4103222201012032330
5321220242222022
613411055100420
71345143362226
oct235241061674
960444440783
1021114414012
118a5559983a
124113211710
131cb6534303
1410442d7416
158389eca0c
hex4ea8463bc

21114414012 has 96 divisors (see below), whose sum is σ = 53225061120. Its totient is φ = 6493132800.

The previous prime is 21114413981. The next prime is 21114414019. The reversal of 21114414012 is 21041441112.

It is a super-2 number, since 2×211144140122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21114414012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21114414019) by changing a digit.

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, 3457762 + ... + 3463862.

It is an arithmetic number, because the mean of its divisors is an integer number (554427720).

Almost surely, 221114414012 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 21114414012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26612530560).

21114414012 is an abundant number, since it is smaller than the sum of its proper divisors (32110647108).

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

21114414012 is a wasteful number, since it uses less digits than its factorization.

21114414012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523 (or 6521 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 21114414012 its reverse (21041441112), we get a palindrome (42155855124).

The spelling of 21114414012 in words is "twenty-one billion, one hundred fourteen million, four hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 172 228 258 353 516 706 817 1059 1412 1634 2118 2451 3268 4236 4902 6101 6707 9804 12202 13414 15179 18303 20121 24404 26828 30358 36606 40242 45537 60716 73212 80484 91074 115919 182148 231838 262343 288401 347757 463676 524686 576802 695514 787029 865203 1049372 1153604 1391028 1574058 1730406 2153653 3148116 3460812 4307306 4984517 6460959 8614612 9969034 12921918 14953551 19938068 25843836 29907102 40919407 59814204 81838814 92607079 122758221 163677628 185214158 245516442 277821237 370428316 491032884 555642474 1111284948 1759534501 3519069002 5278603503 7038138004 10557207006 21114414012