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41133110242311 = 341926727167149
BaseRepresentation
bin10010101101001000011000…
…11011001010110000000111
312101122021202011202100210000
421112210030123022300013
520342411102210223221
6223252142345132343
711443524550143663
oct1126441433126007
9171567664670700
1041133110242311
11121194aa43718a
124743a5748a0b3
1319c4ab2c0aa99
14a22bd30cd8a3
154b4e773b4e26
hex25690c6cac07

41133110242311 has 20 divisors (see below), whose sum is σ = 64679744503000. Its totient is φ = 25978806467856.

The previous prime is 41133110242303. The next prime is 41133110242313. The reversal of 41133110242311 is 11324201133114.

41133110242311 is a `hidden beast` number, since 4 + 1 + 1 + 331 + 10 + 2 + 4 + 2 + 311 = 666.

It is not a de Polignac number, because 41133110242311 - 23 = 41133110242303 is a prime.

It is a super-2 number, since 2×411331102423112 (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 Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41133110242313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13363582036 + ... + 13363585113.

It is an arithmetic number, because the mean of its divisors is an integer number (3233987225150).

Almost surely, 241133110242311 is an apocalyptic number.

41133110242311 is a deficient number, since it is larger than the sum of its proper divisors (23546634260689).

41133110242311 is a wasteful number, since it uses less digits than its factorization.

41133110242311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26727167180 (or 26727167171 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 41133110242311 its reverse (11324201133114), we get a palindrome (52457311375425).

The spelling of 41133110242311 in words is "forty-one trillion, one hundred thirty-three billion, one hundred ten million, two hundred forty-two thousand, three hundred eleven".

Divisors: 1 3 9 19 27 57 81 171 513 1539 26727167149 80181501447 240544504341 507816175831 721633513023 1523448527493 2164900539069 4570345582479 13711036747437 41133110242311