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221211300300100 = 2252111932011040891
BaseRepresentation
bin110010010011000011000100…
…111110011000010101000100
31002000020121000212022101201221
4302103003010332120111010
5212443311220334100400
62102251022440530124
764410663145115005
oct6223030476302504
91060217025271657
10221211300300100
1164537205064170
1220988294a80944
1396581a0059506
143c8a9810cb1ac
151a89330c1cc1a
hexc930c4f98544

221211300300100 has 72 divisors (see below), whose sum is σ = 523670691743136. Its totient is φ = 80439979200000.

The previous prime is 221211300300061. The next prime is 221211300300119. The reversal of 221211300300100 is 1003003112122.

It is a super-2 number, since 2×2212113003001002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212000655 + ... + 213041545.

It is an arithmetic number, because the mean of its divisors is an integer number (7273204051988).

Almost surely, 2221211300300100 is an apocalyptic number.

221211300300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211300300100 is an abundant number, since it is smaller than the sum of its proper divisors (302459391443036).

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

221211300300100 is a wasteful number, since it uses less digits than its factorization.

221211300300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234117 (or 1234110 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 221211300300100 its reverse (1003003112122), we get a palindrome (222214303412222).

The spelling of 221211300300100 in words is "two hundred twenty-one trillion, two hundred eleven billion, three hundred million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 193201 386402 772804 966005 1040891 1932010 2081782 2125211 3864020 4163564 4250422 4830025 5204455 8500844 9660050 10408910 10626055 11449801 19320100 20817820 21252110 22899602 26022275 42504220 45799204 52044550 53130275 57249005 104089100 106260550 114498010 212521100 228996020 286245025 572490050 1144980100 201101182091 402202364182 804404728364 1005505910455 2011011820910 2212113003001 4022023641820 4424226006002 5027529552275 8848452012004 10055059104550 11060565015005 20110118209100 22121130030010 44242260060020 55302825075025 110605650150050 221211300300100