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20410413401 = 7217416197101
BaseRepresentation
bin10011000000100011…
…100011000101011001
31221200102210102121002
4103000203203011121
5313300031212101
613213145554345
71321534436300
oct230043430531
957612712532
1020410413401
118724167754
123b574a59b5
131c03723cc1
14db89db437
157e6cd9d6b
hex4c08e3159

20410413401 has 96 divisors (see below), whose sum is σ = 26706353184. Its totient is φ = 15482880000.

The previous prime is 20410413379. The next prime is 20410413403. The reversal of 20410413401 is 10431401402.

It can be written as a sum of positive squares in 16 ways, for example, as 5787557776 + 14622855625 = 76076^2 + 120925^2 .

It is a de Polignac number, because none of the positive numbers 2k-20410413401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20410413403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 202083251 + ... + 202083351.

It is an arithmetic number, because the mean of its divisors is an integer number (278191179).

Almost surely, 220410413401 is an apocalyptic number.

It is an amenable number.

20410413401 is a deficient number, since it is larger than the sum of its proper divisors (6295939783).

20410413401 is a wasteful number, since it uses less digits than its factorization.

20410413401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 20410413401 its reverse (10431401402), we get a palindrome (30841814803).

The spelling of 20410413401 in words is "twenty billion, four hundred ten million, four hundred thirteen thousand, four hundred one".

Divisors: 1 7 17 41 49 61 97 101 119 287 427 679 697 707 833 1037 1649 1717 2009 2501 2989 3977 4141 4753 4879 4949 5917 6161 7259 9797 11543 12019 17507 27839 28987 34153 41419 42517 43127 50813 67609 68579 70397 80801 84133 100589 104737 122549 166549 194873 202909 242597 252601 289933 297619 301889 401677 473263 480053 492779 597617 704123 733159 1165843 1698179 1768207 2083333 2811739 3312841 3449453 4124149 4183319 4294217 4928861 5132113 6828509 8160901 10159489 11887253 12377449 19682173 24502297 28869043 29283233 30059519 47799563 71116423 171516079 202083301 210416633 334596941 416539049 497814961 1200612553 2915773343 20410413401