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1012431440223 = 3473199183119
BaseRepresentation
bin11101011101110011001…
…11011100100101011111
310120210021002101000120000
432232321213130211133
5113041424422041343
62053034331225343
7133100665152000
oct16567147344537
93523232330500
101012431440223
11360408176a35
121442712a8253
137461992c328
14370054911a7
151b507d0aed3
hexebb99dc95f

1012431440223 has 80 divisors (see below), whose sum is σ = 1772601600000. Its totient is φ = 575621910864.

The previous prime is 1012431440219. The next prime is 1012431440243. The reversal of 1012431440223 is 3220441342101.

1012431440223 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 431 + 4 + 4 + 0 + 223 = 666.

It is not a de Polignac number, because 1012431440223 - 22 = 1012431440219 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012431440243) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5437258 + ... + 5620376.

It is an arithmetic number, because the mean of its divisors is an integer number (22157520000).

Almost surely, 21012431440223 is an apocalyptic number.

1012431440223 is a deficient number, since it is larger than the sum of its proper divisors (760170159777).

1012431440223 is an equidigital number, since it uses as much as digits as its factorization.

1012431440223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183351 (or 183328 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1012431440223 its reverse (3220441342101), we get a palindrome (4232872782324).

The spelling of 1012431440223 in words is "one trillion, twelve billion, four hundred thirty-one million, four hundred forty thousand, two hundred twenty-three".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 199 343 441 567 597 1029 1323 1393 1791 3087 3969 4179 5373 9261 9751 12537 16119 27783 29253 37611 68257 87759 112833 183119 204771 263277 549357 614313 789831 1281833 1648071 1842939 3845499 4944213 5528817 8972831 11536497 14832639 26918493 34609491 36440681 62809817 80755479 103828473 109322043 188429451 242266437 255084767 327966129 565288353 726799311 765254301 983898387 1695865059 1785593369 2295762903 2951695161 5087595177 5356780107 6887288709 12499153583 16070340321 20661866127 37497460749 48211020963 112492382247 144633062889 337477146741 1012431440223