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211112031000 = 23353135413129
BaseRepresentation
bin1100010010011101000…
…0011111001100011000
3202011220202112100101010
43010213100133030120
511424324134443000
6240552235253520
721152360440563
oct3044720371430
9664822470333
10211112031000
11815942685a2
1234ab8baa2a0
1316ba5510450
14a309bd54da
155758c92d50
hex312741f318

211112031000 has 128 divisors (see below), whose sum is σ = 709336555200. Its totient is φ = 51966028800.

The previous prime is 211112030939. The next prime is 211112031001. The reversal of 211112031000 is 130211112.

211112031000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2111120310002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211112031001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2667565 + ... + 2745564.

Almost surely, 2211112031000 is an apocalyptic number.

211112031000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211112031000 is an abundant number, since it is smaller than the sum of its proper divisors (498224524200).

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

211112031000 is a wasteful number, since it uses less digits than its factorization.

211112031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5413166 (or 5413152 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 211112031000 its reverse (130211112), we get a palindrome (211242242112).

The spelling of 211112031000 in words is "two hundred eleven billion, one hundred twelve million, thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 5413129 10826258 16239387 21652516 27065645 32478774 43305032 54131290 64957548 70370677 81196935 108262580 129915096 135328225 140741354 162393870 211112031 216525160 270656450 281482708 324787740 351853385 405984675 422224062 541312900 562965416 649575480 676641125 703706770 811969350 844448124 1055560155 1082625800 1353282250 1407413540 1623938700 1688896248 1759266925 2029923375 2111120310 2706564500 2814827080 3247877400 3518533850 4059846750 4222240620 5277800775 5413129000 7037067700 8119693500 8444481240 8796334625 10555601550 14074135400 16239387000 17592669250 21111203100 26389003875 35185338500 42222406200 52778007750 70370677000 105556015500 211112031000