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211011211111112 = 23341336732104061
BaseRepresentation
bin101111111110100111100000…
…010010000010101011001000
31000200010110211002222012010022
4233332213200102002223020
5210124201430021023422
62024441113454040012
762306025343416236
oct5776474022025310
91020113732865108
10211011211111112
1161264396691a45
121b7bb4777a9008
13909836c285099
143a16dd6101956
15195dd44ad9342
hexbfe9e0482ac8

211011211111112 has 32 divisors (see below), whose sum is σ = 395869881183480. Its totient is φ = 105445926351360.

The previous prime is 211011211111111. The next prime is 211011211111117. The reversal of 211011211111112 is 211111112110112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 111326681913316 + 99684529197796 = 10551146^2 + 9984214^2 .

It is not an unprimeable number, because it can be changed into a prime (211011211111111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99235562 + ... + 101339622.

Almost surely, 2211011211111112 is an apocalyptic number.

It is an amenable number.

211011211111112 is a deficient number, since it is larger than the sum of its proper divisors (184858670072368).

211011211111112 is a wasteful number, since it uses less digits than its factorization.

211011211111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111153 (or 2111149 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 17.

Adding to 211011211111112 its reverse (211111112110112), we get a palindrome (422122323221224).

The spelling of 211011211111112 in words is "two hundred eleven trillion, eleven billion, two hundred eleven million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 3413 3673 6826 7346 13652 14692 27304 29384 2104061 4208122 8416244 12535949 16832488 25071898 50143796 100287592 7181160193 7728216053 14362320386 15456432106 28724640772 30912864212 57449281544 61825728424 26376401388889 52752802777778 105505605555556 211011211111112