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211411121112 = 233213122414241
BaseRepresentation
bin1100010011100100010…
…1011011001111011000
3202012200121022200212200
43010321011123033120
511430432221333422
6241042042010200
721162651610452
oct3047105331730
9665617280780
10211411121112
1181728080404
1234b811a6960
1316c22480049
14a33780d2d2
1557751722ac
hex313915b3d8

211411121112 has 48 divisors (see below), whose sum is σ = 576942589080. Its totient is φ = 69932428800.

The previous prime is 211411121107. The next prime is 211411121137. The reversal of 211411121112 is 211121114112.

211411121112 is a `hidden beast` number, since 21 + 1 + 411 + 121 + 112 = 666.

211411121112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11197689 + ... + 11216552.

Almost surely, 2211411121112 is an apocalyptic number.

It is an amenable number.

211411121112 is an abundant number, since it is smaller than the sum of its proper divisors (365531467968).

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

211411121112 is a wasteful number, since it uses less digits than its factorization.

211411121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22414384 (or 22414377 counting only the distinct ones).

The product of its digits is 32, while the sum is 18.

Adding to 211411121112 its reverse (211121114112), we get a palindrome (422532235224).

The spelling of 211411121112 in words is "two hundred eleven billion, four hundred eleven million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 3144 4716 9432 22414241 44828482 67242723 89656964 134485446 179313928 201728169 268970892 403456338 537941784 806912676 1613825352 2936265571 5872531142 8808796713 11745062284 17617593426 23490124568 26426390139 35235186852 52852780278 70470373704 105705560556 211411121112