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322113132444 = 223257929112429
BaseRepresentation
bin1001010111111110111…
…00000101011110011100
31010210102121200112202110
410223333130011132130
520234141430214234
6403550550154020
732162156310255
oct4537734053634
91123377615673
10322113132444
11114675513a74
1252517052910
13244b524196c
1411839d31b2c
1585a3bd81e9
hex4aff70579c

322113132444 has 48 divisors (see below), whose sum is σ = 755340717600. Its totient is φ = 106837180416.

The previous prime is 322113132437. The next prime is 322113132487. The reversal of 322113132444 is 444231311223.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2808822 + ... + 2921250.

It is an arithmetic number, because the mean of its divisors is an integer number (15736264950).

Almost surely, 2322113132444 is an apocalyptic number.

It is an amenable number.

322113132444 is an abundant number, since it is smaller than the sum of its proper divisors (433227585156).

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

322113132444 is a wasteful number, since it uses less digits than its factorization.

322113132444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113622 (or 113620 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 322113132444 its reverse (444231311223), we get a palindrome (766344443667).

The spelling of 322113132444 in words is "three hundred twenty-two billion, one hundred thirteen million, one hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 257 514 771 929 1028 1542 1858 2787 3084 3716 5574 11148 112429 224858 238753 337287 449716 477506 674574 716259 955012 1349148 1432518 2865036 28894253 57788506 86682759 104446541 115577012 173365518 208893082 313339623 346731036 417786164 626679246 1253358492 26842761037 53685522074 80528283111 107371044148 161056566222 322113132444