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21220313211300 = 22352738472626699
BaseRepresentation
bin1001101001100101111010…
…01110110010000110100100
32210010122100010001200000110
410310302331032302012210
510240133200140230200
6113044251033213020
74320055100124210
oct464627516620644
983118303050013
1021220313211300
116841536660465
12246877bb61170
13bac0b411b5a8
145350d64bd940
1526bec805ab50
hex134cbd3b21a4

21220313211300 has 144 divisors (see below), whose sum is σ = 70186768870400. Its totient is φ = 4849094643840.

The previous prime is 21220313211263. The next prime is 21220313211343. The reversal of 21220313211300 is 311231302212.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6765351 + ... + 9392049.

Almost surely, 221220313211300 is an apocalyptic number.

21220313211300 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 21220313211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35093384435200).

21220313211300 is an abundant number, since it is smaller than the sum of its proper divisors (48966455659100).

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

21220313211300 is a wasteful number, since it uses less digits than its factorization.

21220313211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630570 (or 2630563 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21220313211300 its reverse (311231302212), we get a palindrome (21531544513512).

The spelling of 21220313211300 in words is "twenty-one trillion, two hundred twenty billion, three hundred thirteen million, two hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 3847 7694 11541 15388 19235 23082 26929 38470 46164 53858 57705 76940 80787 96175 107716 115410 134645 161574 192350 230820 269290 288525 323148 384700 403935 538580 577050 673225 807870 1154100 1346450 1615740 2019675 2626699 2692900 4039350 5253398 7880097 8078700 10506796 13133495 15760194 18386893 26266990 31520388 36773786 39400485 52533980 55160679 65667475 73547572 78800970 91934465 110321358 131334950 157601940 183868930 197002425 220642716 262669900 275803395 367737860 394004850 459672325 551606790 788009700 919344650 1103213580 1379016975 1838689300 2758033950 5516067900 10104911053 20209822106 30314733159 40419644212 50524555265 60629466318 70734377371 101049110530 121258932636 141468754742 151573665795 202098221060 212203132113 252622776325 282937509484 303147331590 353671886855 424406264226 505245552650 606294663180 707343773710 757868328975 848812528452 1010491105300 1061015660565 1414687547420 1515736657950 1768359434275 2122031321130 3031473315900 3536718868550 4244062642260 5305078302825 7073437737100 10610156605650 21220313211300