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211110101022112 = 2521193371334861
BaseRepresentation
bin110000000000000011100110…
…100101000111010110100000
31000200110221001220210011112121
4300000003212211013112200
5210132311441330201422
62024554350324034024
762316126050661535
oct6000034645072640
91020427056704477
10211110101022112
11612a2322441816
121b816675832914
1390a479bac0916
143a1bad7958d8c
1519616d16488c7
hexc000e69475a0

211110101022112 has 48 divisors (see below), whose sum is σ = 417598508172384. Its totient is φ = 105053350752000.

The previous prime is 211110101021971. The next prime is 211110101022113. The reversal of 211110101022112 is 211220101011112.

It is a super-2 number, since 2×2111101010221122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (211110101022113) 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 7 ways as a sum of consecutive naturals, for example, 630273562 + ... + 630608422.

It is an arithmetic number, because the mean of its divisors is an integer number (8699968920258).

Almost surely, 2211110101022112 is an apocalyptic number.

It is an amenable number.

211110101022112 is a deficient number, since it is larger than the sum of its proper divisors (206488407150272).

211110101022112 is a wasteful number, since it uses less digits than its factorization.

211110101022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428453 (or 428445 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 211110101022112 its reverse (211220101011112), we get a palindrome (422330202033224).

It can be divided in two parts, 21111010 and 1022112, that added together give a palindrome (22133122).

The spelling of 211110101022112 in words is "two hundred eleven trillion, one hundred ten billion, one hundred one million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 211 422 844 1688 3376 6752 93371 186742 334861 373484 669722 746968 1339444 1493936 2678888 2987872 5357776 10715552 19701281 39402562 70655671 78805124 141311342 157610248 282622684 315220496 565245368 630440992 1130490736 2260981472 31266306431 62532612862 125065225724 250130451448 500260902896 1000521805792 6597190656941 13194381313882 26388762627764 52777525255528 105555050511056 211110101022112