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1054031000225 = 52761733973407
BaseRepresentation
bin11110101011010010010…
…01001011001010100001
310201202122020021121212112
433111221021023022201
5114232123414001400
62124114250205105
7136102604451020
oct17255111131241
93652566247775
101054031000225
11377015026095
12150340a23795
13785191c22a8
143903027a8b7
151c63ee56835
hexf56924b2a1

1054031000225 has 96 divisors (see below), whose sum is σ = 1543326268416. Its totient is φ = 699205478400.

The previous prime is 1054031000189. The next prime is 1054031000263. The reversal of 1054031000225 is 5220001304501.

It is not a de Polignac number, because 1054031000225 - 220 = 1054029951649 is a prime.

It is a super-2 number, since 2×10540310002252 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1054031000225.

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 95 ways as a sum of consecutive naturals, for example, 309370472 + ... + 309373878.

It is an arithmetic number, because the mean of its divisors is an integer number (16076315296).

Almost surely, 21054031000225 is an apocalyptic number.

It is an amenable number.

1054031000225 is a deficient number, since it is larger than the sum of its proper divisors (489295268191).

1054031000225 is a wasteful number, since it uses less digits than its factorization.

1054031000225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3950 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 1054031000225 its reverse (5220001304501), we get a palindrome (6274032304726).

The spelling of 1054031000225 in words is "one trillion, fifty-four billion, thirty-one million, two hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 7 25 35 61 73 175 305 365 397 427 511 1525 1825 1985 2135 2555 2779 3407 4453 9925 10675 12775 13895 17035 22265 23849 24217 28981 31171 69475 85175 111325 119245 121085 144905 155855 169519 202867 207827 248711 596225 605425 724525 779275 847595 1014335 1039135 1243555 1352579 1454789 1740977 1767841 4237975 5071675 5195675 6217775 6762895 7273945 8704885 8839205 9468053 12374887 15171371 33814475 36369725 43524425 44196025 47340265 61874435 75856855 82507319 98738267 106199597 236701325 309372175 379284275 412536595 493691335 530997985 577551233 691167869 2062682975 2468456675 2654989925 2887756165 3455839345 6023034287 14438780825 17279196725 30115171435 42161240009 150575857175 210806200045 1054031000225