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221211020111120 = 245131517611851023
BaseRepresentation
bin110010010011000010110100…
…010001100010110100010000
31002000020120022100002022201022
4302103002310101202310100
5212443310132122023440
62102250534551255012
764410653203416344
oct6223026421426420
91060216270068638
10221211020111120
1164537080991026
122098821707a468
139658156ca6b10
143c8a955bd3624
151a89316323cb5
hexc930b4462d10

221211020111120 has 160 divisors (see below), whose sum is σ = 558279381832704. Its totient is φ = 81030339072000.

The previous prime is 221211020111117. The next prime is 221211020111149. The reversal of 221211020111120 is 21111020112122.

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, 118581929 + ... + 120432951.

Almost surely, 2221211020111120 is an apocalyptic number.

221211020111120 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 221211020111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279139690916352).

221211020111120 is an abundant number, since it is smaller than the sum of its proper divisors (337068361721584).

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

221211020111120 is a wasteful number, since it uses less digits than its factorization.

221211020111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1851961 (or 1851955 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 221211020111120 its reverse (21111020112122), we get a palindrome (242322040223242).

The spelling of 221211020111120 in words is "two hundred twenty-one trillion, two hundred eleven billion, twenty million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 151 208 260 302 520 604 755 761 1040 1208 1510 1522 1963 2416 3020 3044 3805 3926 6040 6088 7610 7852 9815 9893 12080 12176 15220 15704 19630 19786 30440 31408 39260 39572 49465 60880 78520 79144 98930 114911 157040 158288 197860 229822 395720 459644 574555 791440 919288 1149110 1493843 1838576 1851023 2298220 2987686 3702046 4596440 5975372 7404092 7469215 9192880 9255115 11950744 14808184 14938430 18510230 23901488 24063299 29616368 29876860 37020460 48126598 59753720 74040920 96253196 119507440 120316495 148081840 192506392 240632990 279504473 385012784 481265980 559008946 962531960 1118017892 1397522365 1408628503 1925063920 2236035784 2795044730 2817257006 3633558149 4472071568 5590089460 5634514012 7043142515 7267116298 11180178920 11269028024 14086285030 14534232596 18167790745 18312170539 22360357840 22538056048 28172570060 29068465192 36335581490 36624341078 56345140120 58136930384 72671162980 73248682156 91560852695 112690280240 145342325960 146497364312 183121705390 212702903953 290684651920 292994728624 366243410780 425405807906 732486821560 850811615812 1063514519765 1464973643120 1701623231624 2127029039530 2765137751389 3403246463248 4254058079060 5530275502778 8508116158120 11060551005556 13825688756945 17016232316240 22121102011112 27651377513890 44242204022224 55302755027780 110605510055560 221211020111120