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211001012112 = 24311399623129
BaseRepresentation
bin1100010010000010100…
…0111110111110010000
3202011122000122000002110
43010200220332332100
511424112224341422
6240533231545320
721146542003422
oct3044050767620
9664560560073
10211001012112
1181537630450
1234a8798b240
1316b8850c3b7
14a2d9176812
15574e16360c
hex3120a3ef90

211001012112 has 40 divisors (see below), whose sum is σ = 594639217440. Its totient is φ = 63939700480.

The previous prime is 211001012099. The next prime is 211001012129. The reversal of 211001012112 is 211210100112.

It is a super-2 number, since 2×2110010121122 (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 an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 199811037 + ... + 199812092.

It is an arithmetic number, because the mean of its divisors is an integer number (14865980436).

Almost surely, 2211001012112 is an apocalyptic number.

211001012112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211001012112 is an abundant number, since it is smaller than the sum of its proper divisors (383638205328).

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

211001012112 is a wasteful number, since it uses less digits than its factorization.

211001012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399623151 (or 399623145 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211001012112 its reverse (211210100112), we get a palindrome (422211112224).

The spelling of 211001012112 in words is "two hundred eleven billion, one million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 399623129 799246258 1198869387 1598492516 2397738774 3196985032 4395854419 4795477548 6393970064 8791708838 9590955096 13187563257 17583417676 19181910192 26375126514 35166835352 52750253028 70333670704 105500506056 211001012112