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211313101223 = 71011009296221
BaseRepresentation
bin1100010011001100111…
…1100000100110100111
3202012102202212202212102
43010303033200212213
511430232123214343
6241024221042315
721160351503260
oct3046317404647
9665382782772
10211313101223
1181687811634
1234b543b639b
1316c08080903
14a3287b5967
15576b75e3b8
hex31333e09a7

211313101223 has 16 divisors (see below), whose sum is σ = 244134323520. Its totient is φ = 179153856000.

The previous prime is 211313101201. The next prime is 211313101271. The reversal of 211313101223 is 322101313112.

It is a happy number.

211313101223 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211313101223 - 26 = 211313101159 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211313101195 and 211313101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211313101723) 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, 565253 + ... + 861473.

It is an arithmetic number, because the mean of its divisors is an integer number (15258395220).

Almost surely, 2211313101223 is an apocalyptic number.

211313101223 is a deficient number, since it is larger than the sum of its proper divisors (32821222297).

211313101223 is a wasteful number, since it uses less digits than its factorization.

211313101223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297338.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 211313101223 its reverse (322101313112), we get a palindrome (533414414335).

The spelling of 211313101223 in words is "two hundred eleven billion, three hundred thirteen million, one hundred one thousand, two hundred twenty-three".

Divisors: 1 7 101 707 1009 7063 101909 296221 713363 2073547 29918321 209428247 298886989 2092208923 30187585889 211313101223