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211189255112 = 231119013126223
BaseRepresentation
bin1100010010101111011…
…1000100101111001000
3202012010010211201221102
43010223313010233020
511430003422130422
6241004034400532
721154316023013
oct3045367045710
9665103751842
10211189255112
1181623913180
1234b1aa30148
1316bb850b1a4
14a31617837a
155760949192
hex312bdc4bc8

211189255112 has 32 divisors (see below), whose sum is σ = 432004164480. Its totient is φ = 95989306560.

The previous prime is 211189255091. The next prime is 211189255133. The reversal of 211189255112 is 211552981112.

211189255112 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211189255091) and next prime (211189255133).

It is a super-2 number, since 2×2111892551122 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 1610033 + ... + 1736255.

It is an arithmetic number, because the mean of its divisors is an integer number (13500130140).

Almost surely, 2211189255112 is an apocalyptic number.

211189255112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211189255112 is an abundant number, since it is smaller than the sum of its proper divisors (220814909368).

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

211189255112 is a wasteful number, since it uses less digits than its factorization.

211189255112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145253 (or 145249 counting only the distinct ones).

The product of its digits is 14400, while the sum is 38.

The spelling of 211189255112 in words is "two hundred eleven billion, one hundred eighty-nine million, two hundred fifty-five thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 88 19013 38026 76052 126223 152104 209143 252446 418286 504892 836572 1009784 1388453 1673144 2776906 5553812 11107624 2399877899 4799755798 9599511596 19199023192 26398656889 52797313778 105594627556 211189255112