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11000312023221 = 332923958782133
BaseRepresentation
bin1010000000010011010110…
…1100001100100010110101
31102221121201122210002201000
42200010311230030202311
52420212114334220341
635221250143153513
72213513662300113
oct240046554144265
942847648702630
1011000312023221
11356122a3a5644
121297b262a5899
1361a42bc71591
142a05bcb98ab3
15141223c908b6
hexa0135b0c8b5

11000312023221 has 32 divisors (see below), whose sum is σ = 16929254592000. Its totient is φ = 7051034297664.

The previous prime is 11000312023073. The next prime is 11000312023223. The reversal of 11000312023221 is 12232021300011.

11000312023221 is a `hidden beast` number, since 1 + 100 + 0 + 312 + 0 + 232 + 21 = 666.

It is not a de Polignac number, because 11000312023221 - 225 = 11000278468789 is a prime.

It is a super-3 number, since 3×110003120232213 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11000312023194 and 11000312023203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000312023223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29203930 + ... + 29578203.

It is an arithmetic number, because the mean of its divisors is an integer number (529039206000).

Almost surely, 211000312023221 is an apocalyptic number.

It is an amenable number.

11000312023221 is a deficient number, since it is larger than the sum of its proper divisors (5928942568779).

11000312023221 is a wasteful number, since it uses less digits than its factorization.

11000312023221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58782410 (or 58782404 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11000312023221 its reverse (12232021300011), we get a palindrome (23232333323232).

The spelling of 11000312023221 in words is "eleven trillion, three hundred twelve million, twenty-three thousand, two hundred twenty-one".

Divisors: 1 3 9 27 29 87 239 261 717 783 2151 6453 6931 20793 62379 187137 58782133 176346399 529039197 1587117591 1704681857 5114045571 14048929787 15342136713 42146789361 46026410139 126440368083 379321104249 407418963823 1222256891469 3666770674407 11000312023221