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211221201010 = 251729415092053
BaseRepresentation
bin1100010010110111000…
…0111100000001110010
3202012012100221202110211
43010231300330001302
511430040111413020
6241011135214334
721155154404521
oct3045560740162
9665170852424
10211221201010
118163a952646
1234b296773aa
1316bc2014aa1
14a31a4d24b8
15576365985a
hex312dc3c072

211221201010 has 128 divisors (see below), whose sum is σ = 427647729600. Its totient is φ = 74720378880.

The previous prime is 211221200977. The next prime is 211221201041. The reversal of 211221201010 is 10102122112.

It can be written as a sum of positive squares in 32 ways, for example, as 52461049 + 211168739961 = 7243^2 + 459531^2 .

It is a super-2 number, since 2×2112212010102 (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 102883144 + ... + 102885196.

Almost surely, 2211221201010 is an apocalyptic number.

211221201010 is an abundant number, since it is smaller than the sum of its proper divisors (216426528590).

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

211221201010 is a wasteful number, since it uses less digits than its factorization.

211221201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 211221201010 its reverse (10102122112), we get a palindrome (221323323122).

The spelling of 211221201010 in words is "two hundred eleven billion, two hundred twenty-one million, two hundred one thousand, ten".

Divisors: 1 2 5 10 17 29 34 41 58 82 85 145 170 205 290 410 493 509 697 986 1018 1189 1394 2053 2378 2465 2545 3485 4106 4930 5090 5945 6970 8653 10265 11890 14761 17306 20213 20530 20869 29522 34901 40426 41738 43265 59537 69802 73805 84173 86530 101065 104345 119074 147610 168346 174505 202130 208690 250937 297685 349010 354773 420865 501874 595370 605201 709546 841730 1012129 1044977 1210402 1254685 1430941 1773865 2024258 2089954 2441017 2509370 2861882 3026005 3547730 4882034 5060645 5224885 6052010 7154705 10121290 10288417 10449770 12205085 14309410 17764609 20576834 24410170 30304333 35529218 41497289 42844057 51442085 60608666 82994578 85688114 88823045 102884170 151521665 177646090 207486445 214220285 303043330 414972890 428440570 515173661 728348969 1030347322 1242477653 1456697938 2484955306 2575868305 3641744845 5151736610 6212388265 7283489690 12424776530 21122120101 42244240202 105610600505 211221201010