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11222222132331 = 347137144469189
BaseRepresentation
bin1010001101001110000010…
…0100000101010001101011
31110201211111221210122120000
42203103200210011101223
52432331102331213311
635511230115034043
72235531061143210
oct243234044052153
943654457718500
1011222222132331
113637354916031
121312b3759b923
136353355cb352
142ab230adbb07
15146db09d9056
hexa34e090546b

11222222132331 has 40 divisors (see below), whose sum is σ = 19298772276960. Its totient is φ = 6365890300032.

The previous prime is 11222222132291. The next prime is 11222222132357. The reversal of 11222222132331 is 13323122222211.

11222222132331 is a `hidden beast` number, since 112 + 2 + 2 + 2 + 2 + 213 + 2 + 331 = 666.

It is a de Polignac number, because none of the positive numbers 2k-11222222132331 is a prime.

It is a super-2 number, since 2×112222221323312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11222222132295 and 11222222132304.

It is not an unprimeable number, because it can be changed into a prime (11222222132531) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72156916 + ... + 72312273.

It is an arithmetic number, because the mean of its divisors is an integer number (482469306924).

Almost surely, 211222222132331 is an apocalyptic number.

11222222132331 is a deficient number, since it is larger than the sum of its proper divisors (8076550144629).

11222222132331 is a wasteful number, since it uses less digits than its factorization.

11222222132331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144469345 (or 144469336 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 11222222132331 its reverse (13323122222211), we get a palindrome (24545344354542).

The spelling of 11222222132331 in words is "eleven trillion, two hundred twenty-two billion, two hundred twenty-two million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 81 137 189 411 567 959 1233 2877 3699 8631 11097 25893 77679 144469189 433407567 1011284323 1300222701 3033852969 3900668103 9101558907 11702004309 19792278893 27304676721 59376836679 81914030163 138545952251 178130510037 415637856753 534391530111 1246913570259 1603174590333 3740740710777 11222222132331