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211222310211113 = 2361541278281831
BaseRepresentation
bin110000000001101100000110…
…110001001100111000101001
31000200212122200222011120111112
4300001230012301030320221
5210141131242403223423
62025122104552240105
762330210516232335
oct6001540661147051
91020778628146445
10211222310211113
1161335973618263
121b8343703a0035
1390b2241bb8846
143a233002cc7c5
15196459c675a78
hexc01b06c4ce29

211222310211113 has 16 divisors (see below), whose sum is σ = 224433184380672. Its totient is φ = 198359288424000.

The previous prime is 211222310211109. The next prime is 211222310211131. The reversal of 211222310211113 is 311112013222112.

It is not a de Polignac number, because 211222310211113 - 22 = 211222310211109 is a prime.

It is a super-2 number, since 2×2112223102111132 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211222310201113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 138381893 + ... + 139899938.

It is an arithmetic number, because the mean of its divisors is an integer number (14027074023792).

Almost surely, 2211222310211113 is an apocalyptic number.

211222310211113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211222310211113 is a deficient number, since it is larger than the sum of its proper divisors (13210874169559).

211222310211113 is a wasteful number, since it uses less digits than its factorization.

211222310211113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278282456.

The product of its (nonzero) digits is 288, while the sum is 23.

Adding to 211222310211113 its reverse (311112013222112), we get a palindrome (522334323433225).

The spelling of 211222310211113 in words is "two hundred eleven trillion, two hundred twenty-two billion, three hundred ten million, two hundred eleven thousand, one hundred thirteen".

Divisors: 1 23 61 541 1403 12443 33001 759023 278281831 6400482113 16975191691 150550470571 390429408893 3462660823133 9183578704831 211222310211113