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211120210120 = 23523017229309
BaseRepresentation
bin1100010010011110111…
…1101100000011001000
3202011221022220220000111
43010213233230003020
511424333233210440
6240553130444104
721152520114451
oct3044757540310
9664838826014
10211120210120
11815989446a6
1234abb893634
1316ba7115271
14a30ad24128
15575985b4ea
hex3127bec0c8

211120210120 has 32 divisors (see below), whose sum is σ = 475043182200. Its totient is φ = 84444046848.

The previous prime is 211120210099. The next prime is 211120210121. The reversal of 211120210120 is 21012021112.

It can be written as a sum of positive squares in 4 ways, for example, as 98976935236 + 112143274884 = 314606^2 + 334878^2 .

It is a super-2 number, since 2×2111202101202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211120210120.

It is not an unprimeable number, because it can be changed into a prime (211120210121) 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, 806026 + ... + 1035334.

Almost surely, 2211120210120 is an apocalyptic number.

211120210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120210120 is an abundant number, since it is smaller than the sum of its proper divisors (263922972080).

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

211120210120 is a wasteful number, since it uses less digits than its factorization.

211120210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252337 (or 252333 counting only the distinct ones).

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

Adding to 211120210120 its reverse (21012021112), we get a palindrome (232132231232).

The spelling of 211120210120 in words is "two hundred eleven billion, one hundred twenty million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 23017 46034 92068 115085 184136 229309 230170 458618 460340 917236 920680 1146545 1834472 2293090 4586180 9172360 5278005253 10556010506 21112021012 26390026265 42224042024 52780052530 105560105060 211120210120