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211123434440 = 23515134954211
BaseRepresentation
bin1100010010011111101…
…1111111001111001000
3202011221112222200221202
43010213323333033020
511424340044400230
6240553323523332
721152556404012
oct3044773771710
9664845880852
10211123434440
118159a747126
1234b00989548
1316ba79a3a49
14a30b5231b2
155759c96a45
hex3127eff3c8

211123434440 has 32 divisors (see below), whose sum is σ = 478173620160. Its totient is φ = 83890104000.

The previous prime is 211123434427. The next prime is 211123434451. The reversal of 211123434440 is 44434321112.

It is a super-2 number, since 2×2111234344402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 17471066 + ... + 17483145.

It is an arithmetic number, because the mean of its divisors is an integer number (14942925630).

Almost surely, 2211123434440 is an apocalyptic number.

211123434440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211123434440 is an abundant number, since it is smaller than the sum of its proper divisors (267050185720).

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

211123434440 is a wasteful number, since it uses less digits than its factorization.

211123434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34954373 (or 34954369 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 211123434440 its reverse (44434321112), we get a palindrome (255557755552).

The spelling of 211123434440 in words is "two hundred eleven billion, one hundred twenty-three million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 151 302 604 755 1208 1510 3020 6040 34954211 69908422 139816844 174771055 279633688 349542110 699084220 1398168440 5278085861 10556171722 21112343444 26390429305 42224686888 52780858610 105561717220 211123434440