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1040231222300 = 2252171956575693
BaseRepresentation
bin11110010001100101001…
…11001100110000011100
310200110000111120021100102
433020302213030300130
5114020343143103200
62113513045120232
7135103620333224
oct17106247146034
93613014507312
101040231222300
11371183451746
1214972b3b9078
137712a21781a
14384c1603084
151c0d36c36d5
hexf2329ccc1c

1040231222300 has 144 divisors (see below), whose sum is σ = 2516764854240. Its totient is φ = 370874327040.

The previous prime is 1040231222287. The next prime is 1040231222477. The reversal of 1040231222300 is 32221320401.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182718254 + ... + 182723946.

It is an arithmetic number, because the mean of its divisors is an integer number (17477533710).

Almost surely, 21040231222300 is an apocalyptic number.

1040231222300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040231222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258382427120).

1040231222300 is an abundant number, since it is smaller than the sum of its proper divisors (1476533631940).

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

1040231222300 is a wasteful number, since it uses less digits than its factorization.

1040231222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11400 (or 11393 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1040231222300 its reverse (32221320401), we get a palindrome (1072452542701).

The spelling of 1040231222300 in words is "one trillion, forty billion, two hundred thirty-one million, two hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3230 5657 5693 6460 8075 11314 11386 16150 22628 22772 28285 28465 32300 56570 56930 96169 96781 107483 108167 113140 113860 141425 142325 192338 193562 214966 216334 282850 284650 384676 387124 429932 432668 480845 483905 537415 540835 565700 569300 961690 967810 1074830 1081670 1827211 1838839 1923380 1935620 2149660 2163340 2404225 2419525 2687075 2704175 3654422 3677678 4808450 4839050 5374150 5408350 7308844 7355356 9136055 9194195 9616900 9678100 10748300 10816700 18272110 18388390 32205301 36544220 36776780 45680275 45970975 64410602 91360550 91941950 128821204 161026505 182721100 183883900 322053010 547490117 611900719 644106020 805132525 1094980234 1223801438 1610265050 2189960468 2447602876 2737450585 3059503595 3220530100 5474901170 6119007190 10402312223 10949802340 12238014380 13687252925 15297517975 20804624446 27374505850 30595035950 41609248892 52011561115 54749011700 61190071900 104023122230 208046244460 260057805575 520115611150 1040231222300