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41123104213005 = 36515377733697
BaseRepresentation
bin10010101100110101110000…
…00001001100100000001101
312101121022220211122102000000
421112122320001030200031
520342230104134304010
6223243405425154513
711443021600250613
oct1126327001144015
9171538824572000
1041123104213005
1112115235284281
124741b2448ba39
1319c3b79bbc199
14a2252423b6b3
154b4a8dc157c0
hex2566b804c80d

41123104213005 has 56 divisors (see below), whose sum is σ = 73992653840952. Its totient is φ = 21930866049024.

The previous prime is 41123104213001. The next prime is 41123104213049. The reversal of 41123104213005 is 50031240132114.

41123104213005 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 310 + 42 + 1 + 300 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31395872652804 + 9727231560201 = 5603202^2 + 3118851^2 .

It is not a de Polignac number, because 41123104213005 - 22 = 41123104213001 is a prime.

It is a super-2 number, since 2×411231042130052 (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41123104213005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41123104213001) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 55682317 + ... + 56416013.

It is an arithmetic number, because the mean of its divisors is an integer number (1321297390017).

Almost surely, 241123104213005 is an apocalyptic number.

41123104213005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41123104213005 is a deficient number, since it is larger than the sum of its proper divisors (32869549627947).

41123104213005 is an equidigital number, since it uses as much as digits as its factorization.

41123104213005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749097 (or 749082 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 41123104213005 its reverse (50031240132114), we get a palindrome (91154344345119).

The spelling of 41123104213005 in words is "forty-one trillion, one hundred twenty-three billion, one hundred four million, two hundred thirteen thousand, five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 1215 3645 15377 46131 76885 138393 230655 415179 691965 733697 1245537 2075895 2201091 3668485 3736611 6227685 6603273 11005455 11209833 18683055 19809819 33016365 56049165 59429457 99049095 178288371 297147285 534865113 891441855 2674325565 11282058769 33846176307 56410293845 101538528921 169230881535 304615586763 507692644605 913846760289 1523077933815 2741540280867 4569233801445 8224620842601 13707701404335 41123104213005