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21216106512300 = 22352715976326179
BaseRepresentation
bin1001101001011110000100…
…11111011111111110101100
32210010020110221102012211210
410310233002133133332230
510240101041231343200
6113042313401114420
74316545616562510
oct464570237377654
983106427365753
1021216106512300
11683a778029217
1224679a7188a10
13bab89373869b
14534c17922140
1526bd2daa6650
hex134bc27dffac

21216106512300 has 144 divisors (see below), whose sum is σ = 70198532284160. Its totient is φ = 4846358442240.

The previous prime is 21216106512287. The next prime is 21216106512301. The reversal of 21216106512300 is 321560161212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (21216106512301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190611 + ... + 6516789.

Almost surely, 221216106512300 is an apocalyptic number.

21216106512300 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 21216106512300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35099266142080).

21216106512300 is an abundant number, since it is smaller than the sum of its proper divisors (48982425771860).

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

21216106512300 is a wasteful number, since it uses less digits than its factorization.

21216106512300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6327800 (or 6327793 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 21216106512300 its reverse (321560161212), we get a palindrome (21537666673512).

The spelling of 21216106512300 in words is "twenty-one trillion, two hundred sixteen billion, one hundred six million, five hundred twelve 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 1597 2100 3194 4791 6388 7985 9582 11179 15970 19164 22358 23955 31940 33537 39925 44716 47910 55895 67074 79850 95820 111790 119775 134148 159700 167685 223580 239550 279475 335370 479100 558950 670740 838425 1117900 1676850 3353700 6326179 12652358 18978537 25304716 31630895 37957074 44283253 63261790 75914148 88566506 94892685 126523580 132849759 158154475 177133012 189785370 221416265 265699518 316308950 379570740 442832530 474463425 531399036 632617900 664248795 885665060 948926850 1107081325 1328497590 1897853700 2214162650 2656995180 3321243975 4428325300 6642487950 10102907863 13284975900 20205815726 30308723589 40411631452 50514539315 60617447178 70720355041 101029078630 121234894356 141440710082 151543617945 202058157260 212161065123 252572696575 282881420164 303087235890 353601775205 424322130246 505145393150 606174471780 707203550410 757718089725 848644260492 1010290786300 1060805325615 1414407100820 1515436179450 1768008876025 2121610651230 3030872358900 3536017752050 4243221302460 5304026628075 7072035504100 10608053256150 21216106512300