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211121213310 = 23257247873291
BaseRepresentation
bin1100010010011111001…
…1100000111101111110
3202011221101210212010200
43010213303200331332
511424334012311220
6240553204144330
721152531463300
oct3044763407576
9664841725120
10211121213310
118159946a387
1234b000980a6
1316ba73a6a77
14a30b105970
1557599a8890
hex3127ce0f7e

211121213310 has 72 divisors (see below), whose sum is σ = 638533968696. Its totient is φ = 48256276320.

The previous prime is 211121213299. The next prime is 211121213341. The reversal of 211121213310 is 13312121112.

211121213310 is a `hidden beast` number, since 21 + 1 + 121 + 213 + 310 = 666.

211121213310 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 2×2111212133102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23932236 + ... + 23941055.

It is an arithmetic number, because the mean of its divisors is an integer number (8868527343).

Almost surely, 2211121213310 is an apocalyptic number.

211121213310 is an abundant number, since it is smaller than the sum of its proper divisors (427412755386).

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

211121213310 is a wasteful number, since it uses less digits than its factorization.

211121213310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47873318 (or 47873308 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 211121213310 its reverse (13312121112), we get a palindrome (224433334422).

The spelling of 211121213310 in words is "two hundred eleven billion, one hundred twenty-one million, two hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 47873291 95746582 143619873 239366455 287239746 335113037 430859619 478732910 670226074 718099365 861719238 1005339111 1436198730 1675565185 2010678222 2154298095 2345791259 3016017333 3351130370 4308596190 4691582518 5026695555 6032034666 7037373777 10053391110 11728956295 14074747554 15080086665 21112121331 23457912590 30160173330 35186868885 42224242662 70373737770 105560606655 211121213310