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210002210010200 = 23524125931053347
BaseRepresentation
bin101111101111111011110011…
…001000010011010001011000
31000112120000102002101110110102
4233233323303020103101120
5210011134011230311300
62022345403342434532
762143105350522416
oct5757736310232130
91015500362343412
10210002210010200
1160a05489893783
121b677a03292a48
13902417b24213a
1439c02384782b6
15194298d02a0d5
hexbefef3213458

210002210010200 has 144 divisors (see below), whose sum is σ = 501298667610840. Its totient is φ = 81813805158400.

The previous prime is 210002210010097. The next prime is 210002210010211. The reversal of 210002210010200 is 2010012200012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198839927 + ... + 199893273.

Almost surely, 2210002210010200 is an apocalyptic number.

210002210010200 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 210002210010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250649333805420).

210002210010200 is an abundant number, since it is smaller than the sum of its proper divisors (291296457600640).

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

210002210010200 is a wasteful number, since it uses less digits than its factorization.

210002210010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054038 (or 1053988 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 210002210010200 its reverse (2010012200012), we get a palindrome (212012222210212).

The spelling of 210002210010200 in words is "two hundred ten trillion, two billion, two hundred ten million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 593 820 1025 1186 1640 1681 2050 2372 2965 3362 4100 4744 5930 6724 8200 8405 11860 13448 14825 16810 23720 24313 29650 33620 42025 48626 59300 67240 84050 97252 118600 121565 168100 194504 243130 336200 486260 607825 972520 996833 1053347 1215650 1993666 2106694 2431300 3987332 4213388 4862600 4984165 5266735 7974664 8426776 9968330 10533470 19936660 21066940 24920825 26333675 39873320 42133880 43187227 49841650 52667350 86374454 99683300 105334700 172748908 199366600 210669400 215936135 345497816 431872270 624634771 863744540 1079680675 1249269542 1727489080 1770676307 2159361350 2498539084 3123173855 3541352614 4318722700 4997078168 6246347710 7082705228 8637445400 8853381535 12492695420 14165410456 15615869275 17706763070 24985390840 25610025611 31231738550 35413526140 44266907675 51220051222 62463477100 70827052280 88533815350 102440102444 124926954200 128050128055 177067630700 204880204888 256100256110 354135261400 512200512220 640250640275 1024401024440 1050011050051 1280501280550 2100022100102 2561002561100 4200044200204 5122005122200 5250055250255 8400088400408 10500110500510 21000221001020 26250276251275 42000442002040 52500552502550 105001105005100 210002210010200