Search a number
-
+
211221331323 = 33117393714011
BaseRepresentation
bin1100010010110111000…
…1011011110101111011
3202012012101012101020020
43010231301123311323
511430040130100243
6241011142101523
721155155456452
oct3045561336573
9665171171206
10211221331323
118163aa31542
1234b2971a8a3
1316bc205c1b2
14a31a527b99
155763683283
hex312dc5bd7b

211221331323 has 32 divisors (see below), whose sum is σ = 292726597632. Its totient is φ = 135329875200.

The previous prime is 211221331309. The next prime is 211221331333. The reversal of 211221331323 is 323133122112.

It is not a de Polignac number, because 211221331323 - 214 = 211221314939 is a prime.

It is a super-2 number, since 2×2112213313232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211221331293 and 211221331302.

It is not an unprimeable number, because it can be changed into a prime (211221331333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15068388 + ... + 15082398.

It is an arithmetic number, because the mean of its divisors is an integer number (9147706176).

Almost surely, 2211221331323 is an apocalyptic number.

211221331323 is a deficient number, since it is larger than the sum of its proper divisors (81505266309).

211221331323 is a wasteful number, since it uses less digits than its factorization.

211221331323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15155.

The product of its digits is 1296, while the sum is 24.

Adding to 211221331323 its reverse (323133122112), we get a palindrome (534354453435).

The spelling of 211221331323 in words is "two hundred eleven billion, two hundred twenty-one million, three hundred thirty-one thousand, three hundred twenty-three".

Divisors: 1 3 31 93 173 519 937 2811 5363 14011 16089 29047 42033 87141 162101 434341 486303 1303023 2423903 5025131 7271709 13128307 15075393 39384921 75140993 225422979 406977517 1220932551 2271197111 6813591333 70407110441 211221331323