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21303030201100 = 225289101105122549
BaseRepresentation
bin1001101011111111111111…
…00011000011101100001100
32210102112211210200010100021
410311333333203003230030
510243012101212413400
6113150251005311524
74326043643002654
oct465777743035414
983375753603307
1021303030201100
1168736231a815a
1224808058655a4
13bb6b3710807b
14539102031364
1526e219d1871a
hex135fff8c3b0c

21303030201100 has 144 divisors (see below), whose sum is σ = 47256842556000. Its totient is φ = 8333740800000.

The previous prime is 21303030201097. The next prime is 21303030201133. The reversal of 21303030201100 is 110203030312.

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, 944732626 + ... + 944755174.

It is an arithmetic number, because the mean of its divisors is an integer number (328172517750).

Almost surely, 221303030201100 is an apocalyptic number.

21303030201100 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 21303030201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23628421278000).

21303030201100 is an abundant number, since it is smaller than the sum of its proper divisors (25953812354900).

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

21303030201100 is a wasteful number, since it uses less digits than its factorization.

21303030201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23804 (or 23797 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 21303030201100 its reverse (110203030312), we get a palindrome (21413233231412).

The spelling of 21303030201100 in words is "twenty-one trillion, three hundred three billion, thirty million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 101 178 202 356 404 445 505 890 1010 1051 1780 2020 2102 2225 2525 4204 4450 5050 5255 8900 8989 10100 10510 17978 21020 22549 26275 35956 44945 45098 52550 89890 90196 93539 105100 106151 112745 179780 187078 212302 224725 225490 374156 424604 449450 450980 467695 530755 563725 898900 935390 1061510 1127450 1870780 2006861 2123020 2254900 2277449 2338475 2653775 4013722 4554898 4676950 5307550 8027444 9109796 9353900 9447439 10034305 10615100 11387245 18894878 20068610 22774490 23698999 37789756 40137220 45548980 47237195 47397998 50171525 56936225 94474390 94795996 100343050 113872450 118494995 188948780 200686100 202692961 227744900 236185975 236989990 405385922 472371950 473979980 592474975 810771844 944743900 1013464805 1184949950 2026929610 2109210911 2369899900 2393598899 4053859220 4218421822 4787197798 5067324025 8436843644 9574395596 10134648050 10546054555 11967994495 20269296100 21092109110 23935988990 42184218220 47871977980 52730272775 59839972475 105460545550 119679944950 210921091100 213030302011 239359889900 426060604022 852121208044 1065151510055 2130303020110 4260606040220 5325757550275 10651515100550 21303030201100