Search a number
-
+
41153305212201 = 3713261672837227
BaseRepresentation
bin10010101101101110000000…
…01000110111010100101001
312101201012212121011010102210
421112313000020313110221
520343223432113242301
6223305322321315333
711445141160435140
oct1126670010672451
9171635777133383
1041153305212201
1112127022a22a46
124747952795b49
1319c6980acb300
14a23b8b248757
154b575a2e4ad6
hex256dc0237529

41153305212201 has 96 divisors (see below), whose sum is σ = 70048027020288. Its totient is φ = 21032696805120.

The previous prime is 41153305212181. The next prime is 41153305212221. The reversal of 41153305212201 is 10221250335114.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41153305212181) and next prime (41153305212221).

It is not a de Polignac number, because 41153305212201 - 25 = 41153305212169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41153305212221) 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, 13086150 + ... + 15923376.

It is an arithmetic number, because the mean of its divisors is an integer number (729666948128).

Almost surely, 241153305212201 is an apocalyptic number.

It is an amenable number.

41153305212201 is a deficient number, since it is larger than the sum of its proper divisors (28894721808087).

41153305212201 is a wasteful number, since it uses less digits than its factorization.

41153305212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837391 (or 2837378 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 41153305212201 its reverse (10221250335114), we get a palindrome (51374555547315).

The spelling of 41153305212201 in words is "forty-one trillion, one hundred fifty-three billion, three hundred five million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 7 13 21 39 61 67 91 169 183 201 273 427 469 507 793 871 1183 1281 1407 2379 2613 3549 4087 5551 6097 10309 11323 12261 16653 18291 28609 30927 33969 53131 72163 79261 85827 159393 216489 237783 371917 690703 1115751 2072109 2837227 4834921 8511681 14504763 19860589 36883951 59581767 110651853 173070847 190094209 258187657 479491363 519212541 570282627 774562971 1211495929 1330659463 1438474089 2249921011 2471224717 3356439541 3634487787 3991978389 6749763033 7413674151 10069318623 11595746749 15749447077 17298573019 29248973143 32125921321 34787240247 47248341231 51895719057 81170227243 87746919429 96377763963 150744707737 204742812001 224881449247 243510681729 452234123211 614228436003 674644347741 1055212954159 1959681200581 3165638862477 5879043601743 13717768404067 41153305212201