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21211002300 = 22352794631933
BaseRepresentation
bin10011110000010001…
…100011010110111100
32000202020020120002210
4103300101203112330
5321420004033200
613424425220420
71350425354565
oct236021432674
960666216083
1021211002300
118aa506aa74
12413b631710
132000551c47
14105307b16c
1584222b650
hex4f04635bc

21211002300 has 144 divisors (see below), whose sum is σ = 62313789440. Its totient is φ = 5569724160.

The previous prime is 21211002271. The next prime is 21211002313. The reversal of 21211002300 is 320011212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10972134 + ... + 10974066.

Almost surely, 221211002300 is an apocalyptic number.

21211002300 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 21211002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31156894720).

21211002300 is an abundant number, since it is smaller than the sum of its proper divisors (41102787140).

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

21211002300 is a wasteful number, since it uses less digits than its factorization.

21211002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21211002300 its reverse (320011212), we get a palindrome (21531013512).

The spelling of 21211002300 in words is "twenty-one billion, two hundred eleven million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 463 474 790 926 948 1185 1389 1580 1852 1933 1975 2315 2370 2778 3866 3950 4630 4740 5556 5799 5925 6945 7732 7900 9260 9665 11575 11598 11850 13890 19330 23150 23196 23700 27780 28995 34725 36577 38660 46300 48325 57990 69450 73154 96650 109731 115980 138900 144975 146308 152707 182885 193300 219462 289950 305414 365770 438924 458121 548655 579900 610828 731540 763535 894979 914425 916242 1097310 1527070 1789958 1828850 1832484 2194620 2290605 2684937 2743275 3054140 3579916 3657700 3817675 4474895 4581210 5369874 5486550 7635350 8949790 9162420 10739748 10973100 11453025 13424685 15270700 17899580 22374475 22906050 26849370 44748950 45812100 53698740 67123425 70703341 89497900 134246850 141406682 212110023 268493700 282813364 353516705 424220046 707033410 848440092 1060550115 1414066820 1767583525 2121100230 3535167050 4242200460 5302750575 7070334100 10605501150 21211002300