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12213332221101 = 3117313737006397
BaseRepresentation
bin1011000110111010001101…
…0101000001110010101101
31121020120202010021210102120
42301232203111001302231
53100100401022033401
641550421035543153
72400245520662544
oct261564325016255
947216663253376
1012213332221101
113989710702050
1214530382baab9
136a7934b8048b
143031b25c915b
15162a6ba6c836
hexb1ba3541cad

12213332221101 has 32 divisors (see below), whose sum is σ = 18139648146048. Its totient is φ = 7247332592640.

The previous prime is 12213332221093. The next prime is 12213332221109. The reversal of 12213332221101 is 10112223331221.

12213332221101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12213332221093) and next prime (12213332221109).

It is not a de Polignac number, because 12213332221101 - 23 = 12213332221093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213332221109) 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, 18173166 + ... + 18833231.

It is an arithmetic number, because the mean of its divisors is an integer number (566864004564).

Almost surely, 212213332221101 is an apocalyptic number.

12213332221101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12213332221101 is a deficient number, since it is larger than the sum of its proper divisors (5926315924947).

12213332221101 is a wasteful number, since it uses less digits than its factorization.

12213332221101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37006621.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12213332221101 its reverse (10112223331221), we get a palindrome (22325555552322).

The spelling of 12213332221101 in words is "twelve trillion, two hundred thirteen billion, three hundred thirty-two million, two hundred twenty-one thousand, one hundred one".

Divisors: 1 3 11 33 73 137 219 411 803 1507 2409 4521 10001 30003 110011 330033 37006397 111019191 407070367 1221211101 2701466981 5069876389 8104400943 15209629167 29716136791 55768640279 89148410373 167305920837 370100976397 1110302929191 4071110740367 12213332221101