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41322041134101 = 32713214323543753
BaseRepresentation
bin10010110010101000010011…
…00101010100110000010101
312102022100102002120002101200
421121110021211110300111
520404010020012242401
6223515030021543113
711463263462214330
oct1131241145246025
9172270362502350
1041322041134101
1112191640a58572
1247745a3b74a99
131a09861bb6990
14a2bdd7071617
154b9d33b98686
hex259509954c15

41322041134101 has 48 divisors (see below), whose sum is σ = 73495689286656. Its totient is φ = 21786069650688.

The previous prime is 41322041134067. The next prime is 41322041134183. The reversal of 41322041134101 is 10143114022314.

It is a happy number.

41322041134101 is a `hidden beast` number, since 4 + 1 + 32 + 204 + 1 + 13 + 410 + 1 = 666.

It is not a de Polignac number, because 41322041134101 - 223 = 41322032745493 is a prime.

It is a super-2 number, since 2×413220411341012 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41322041134301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10016760 + ... + 13526993.

It is an arithmetic number, because the mean of its divisors is an integer number (1531160193472).

Almost surely, 241322041134101 is an apocalyptic number.

It is an amenable number.

41322041134101 is a deficient number, since it is larger than the sum of its proper divisors (32173648152555).

41322041134101 is a wasteful number, since it uses less digits than its factorization.

41322041134101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23545922 (or 23545919 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 41322041134101 its reverse (10143114022314), we get a palindrome (51465155156415).

The spelling of 41322041134101 in words is "forty-one trillion, three hundred twenty-two billion, forty-one million, one hundred thirty-four thousand, one hundred one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 2143 6429 15001 19287 27859 45003 83577 135009 195013 250731 585039 1755117 23543753 70631259 164806271 211893777 306068789 494418813 918206367 1483256439 2142481523 2754619101 6427444569 19282333707 50454262679 151362788037 353179838753 454088364111 655905414827 1059539516259 1967716244481 3178618548777 4591337903789 5903148733443 13774013711367 41322041134101