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41135404100023 = 3727711489349343
BaseRepresentation
bin10010101101001100101010…
…01001100010100110110111
312101122111200001001102000001
421112212111021202212313
520342430301422200043
6223253202130332131
711443635442463542
oct1126462511424667
9171574601042001
1041135404100023
111211a477242462
12474439772a047
1319c508a21223c
14a22d6d9dd859
154b505d97174d
hex2569952629b7

41135404100023 has 16 divisors (see below), whose sum is σ = 42403500483840. Its totient is φ = 39875561542656.

The previous prime is 41135404099991. The next prime is 41135404100029. The reversal of 41135404100023 is 32000140453114.

41135404100023 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 41135404100023 - 25 = 41135404099991 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41135404099964 and 41135404100000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41135404100029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117576090 + ... + 117925432.

It is an arithmetic number, because the mean of its divisors is an integer number (2650218780240).

Almost surely, 241135404100023 is an apocalyptic number.

41135404100023 is a deficient number, since it is larger than the sum of its proper divisors (1268096383817).

41135404100023 is a wasteful number, since it uses less digits than its factorization.

41135404100023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361146.

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 41135404100023 its reverse (32000140453114), we get a palindrome (73135544553137).

The spelling of 41135404100023 in words is "forty-one trillion, one hundred thirty-five billion, four hundred four million, one hundred thousand, twenty-three".

Divisors: 1 37 277 10249 11489 349343 425093 3182453 12925691 96768011 117750761 3580416407 4013601727 148503263899 1111767678379 41135404100023