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21221444310 = 235111011933299
BaseRepresentation
bin10011110000111001…
…011000101011010110
32000202221220001211220
4103300321120223112
5321430142204220
613425441111210
71350613205013
oct236071305326
960687801756
1021221444310
118aaaa52230
124143028506
132002769a51
1410545d870a
158430e0540
hex4f0e58ad6

21221444310 has 128 divisors (see below), whose sum is σ = 56419545600. Its totient is φ = 5065728000.

The previous prime is 21221444287. The next prime is 21221444311. The reversal of 21221444310 is 1344412212.

It is a super-2 number, since 2×212214443102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21221444311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6431041 + ... + 6434339.

It is an arithmetic number, because the mean of its divisors is an integer number (440777700).

Almost surely, 221221444310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221444310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28209772800).

21221444310 is an abundant number, since it is smaller than the sum of its proper divisors (35198101290).

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

21221444310 is a wasteful number, since it uses less digits than its factorization.

21221444310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3614.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21221444310 its reverse (1344412212), we get a palindrome (22565856522).

The spelling of 21221444310 in words is "twenty-one billion, two hundred twenty-one million, four hundred forty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 193 202 303 330 386 505 579 606 965 1010 1111 1158 1515 1930 2123 2222 2895 3030 3299 3333 4246 5555 5790 6369 6598 6666 9897 10615 11110 12738 16495 16665 19493 19794 21230 31845 32990 33330 36289 38986 49485 58479 63690 72578 97465 98970 108867 116958 181445 194930 214423 217734 292395 333199 362890 428846 544335 584790 636707 643269 666398 999597 1072115 1088670 1273414 1286538 1665995 1910121 1999194 2144230 3183535 3216345 3331990 3665189 3820242 4997985 6367070 6432690 7003777 7330378 9550605 9995970 10995567 14007554 18325945 19101210 21011331 21991134 35018885 36651890 42022662 54977835 64307407 70037770 105056655 109955670 128614814 192922221 210113310 321537035 385844442 643074070 707381477 964611105 1414762954 1929222210 2122144431 3536907385 4244288862 7073814770 10610722155 21221444310