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22331103331140 = 22325124061685173
BaseRepresentation
bin1010001001111010111010…
…11110110100001101000100
32221001211110222122022112100
411010331131132310031010
510411333044423044030
6115254433420352100
74463240362300122
oct504753536641504
987054428568470
1022331103331140
11712a62772916a
122607b013a5630
13c5ca774b7a56
14572b8ca22912
1528ad3ae3e360
hex144f5d7b4344

22331103331140 has 36 divisors (see below), whose sum is σ = 67737680105004. Its totient is φ = 5954960888256.

The previous prime is 22331103331099. The next prime is 22331103331153. The reversal of 22331103331140 is 4113330113322.

22331103331140 is a `hidden beast` number, since 2 + 2 + 3 + 311 + 0 + 3 + 331 + 14 + 0 = 666.

22331103331140 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2747982551616 + 19583120779524 = 1657704^2 + 4425282^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 62030842407 + ... + 62030842766.

It is an arithmetic number, because the mean of its divisors is an integer number (1881602225139).

Almost surely, 222331103331140 is an apocalyptic number.

22331103331140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22331103331140 is an abundant number, since it is smaller than the sum of its proper divisors (45406576773864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22331103331140 is a wasteful number, since it uses less digits than its factorization.

22331103331140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124061685188 (or 124061685183 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 22331103331140 its reverse (4113330113322), we get a palindrome (26444433444462).

The spelling of 22331103331140 in words is "twenty-two trillion, three hundred thirty-one billion, one hundred three million, three hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 124061685173 248123370346 372185055519 496246740692 620308425865 744370111038 1116555166557 1240616851730 1488740222076 1860925277595 2233110333114 2481233703460 3721850555190 4466220666228 5582775832785 7443701110380 11165551665570 22331103331140