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211212221120 = 2651933419887
BaseRepresentation
bin1100010010110100111…
…0101011101011000000
3202012011202001112101022
43010231032223223000
511430030312033440
6241010214525012
721155015154215
oct3045516535300
9665152045338
10211212221120
118163587994a
1234b26666768
1316bc01bc644
14a319235b0c
155762983cb5
hex312d3abac0

211212221120 has 56 divisors (see below), whose sum is σ = 505555203264. Its totient is φ = 84047118336.

The previous prime is 211212221111. The next prime is 211212221123. The reversal of 211212221120 is 21122212112.

211212221120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112122211202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211212221123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1648184 + ... + 1771703.

Almost surely, 2211212221120 is an apocalyptic number.

211212221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212221120 is an abundant number, since it is smaller than the sum of its proper divisors (294342982144).

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

211212221120 is a wasteful number, since it uses less digits than its factorization.

211212221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3420097 (or 3420087 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211212221120 its reverse (21122212112), we get a palindrome (232334433232).

The spelling of 211212221120 in words is "two hundred eleven billion, two hundred twelve million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 193 320 386 772 965 1544 1930 3088 3860 6176 7720 12352 15440 30880 61760 3419887 6839774 13679548 17099435 27359096 34198870 54718192 68397740 109436384 136795480 218872768 273590960 547181920 660038191 1094363840 1320076382 2640152764 3300190955 5280305528 6600381910 10560611056 13200763820 21121222112 26401527640 42242444224 52803055280 105606110560 211212221120