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210217137210820 = 2251972231999119689
BaseRepresentation
bin101111110011000011111101…
…110010100000010111000100
31000120022120011201211111200001
4233303003331302200113010
5210023144144111221240
62023032230350331044
762164454425552645
oct5763037562402704
91016276151744601
10210217137210820
1160a88650673713
121b6b15a5ab9a84
13903b510c9b5ac
1439ca7c6c2d6cc
15194836bbd389a
hexbf30fdca05c4

210217137210820 has 96 divisors (see below), whose sum is σ = 445913233920000. Its totient is φ = 83242502267904.

The previous prime is 210217137210793. The next prime is 210217137210841. The reversal of 210217137210820 is 28012731712012.

It is a super-2 number, since 2×2102171372108202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 210217137210820.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1756301536 + ... + 1756421224.

It is an arithmetic number, because the mean of its divisors is an integer number (4644929520000).

Almost surely, 2210217137210820 is an apocalyptic number.

210217137210820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210217137210820 is an abundant number, since it is smaller than the sum of its proper divisors (235696096709180).

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

210217137210820 is a wasteful number, since it uses less digits than its factorization.

210217137210820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122117 (or 122115 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 37.

Adding to 210217137210820 its reverse (28012731712012), we get a palindrome (238229868922832).

The spelling of 210217137210820 in words is "two hundred ten trillion, two hundred seventeen billion, one hundred thirty-seven million, two hundred ten thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 197 223 394 446 788 892 985 1115 1970 1999 2230 3940 3998 4460 7996 9995 19990 39980 43931 87862 119689 175724 219655 239378 393803 439310 445777 478756 598445 787606 878620 891554 1196890 1575212 1783108 1969015 2228885 2393780 3938030 4457770 7876060 8915540 23578733 26690647 47157466 53381294 87818069 94314932 106762588 117893665 133453235 175636138 235787330 239258311 266906470 351272276 439090345 471574660 478516622 533812940 878180690 957033244 1196291555 1756361380 2392583110 4785166220 5258057459 10516114918 21032229836 26290287295 47133887267 52580574590 53354603353 94267774534 105161149180 106709206706 188535549068 213418413412 235669436335 266773016765 471338872670 533546033530 942677745340 1067092067060 10510856860541 21021713721082 42043427442164 52554284302705 105108568605410 210217137210820