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211311313323 = 31160110654531
BaseRepresentation
bin1100010011001100100…
…0101100000110101011
3202012102122111221022220
43010303020230012223
511430231144011243
6241024114445123
721160330345605
oct3046310540653
9665378457286
10211311313323
1181686800330
1234b538937a3
1316c078a5b96
14a32846c175
15576b509783
hex313322c1ab

211311313323 has 16 divisors (see below), whose sum is σ = 307873356672. Its totient is φ = 127854360000.

The previous prime is 211311313253. The next prime is 211311313331. The reversal of 211311313323 is 323313113112.

It is not a de Polignac number, because 211311313323 - 224 = 211294536107 is a prime.

It is a super-2 number, since 2×2113113133232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211311313293 and 211311313302.

It is not an unprimeable number, because it can be changed into a prime (211311313363) 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 15 ways as a sum of consecutive naturals, for example, 5307433 + ... + 5347098.

It is an arithmetic number, because the mean of its divisors is an integer number (19242084792).

Almost surely, 2211311313323 is an apocalyptic number.

211311313323 is a deficient number, since it is larger than the sum of its proper divisors (96562043349).

211311313323 is a wasteful number, since it uses less digits than its factorization.

211311313323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10655146.

The product of its digits is 972, while the sum is 24.

Adding to 211311313323 its reverse (323313113112), we get a palindrome (534624426435).

The spelling of 211311313323 in words is "two hundred eleven billion, three hundred eleven million, three hundred thirteen thousand, three hundred twenty-three".

Divisors: 1 3 11 33 601 1803 6611 19833 10654531 31963593 117199841 351599523 6403373131 19210119393 70437104441 211311313323