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127082424541 = 59103179116827
BaseRepresentation
bin111011001011010110…
…0111110100011011101
3110011000121000001111111
41312112230332203131
54040231100041131
6134214133222021
712116135533312
oct1662654764335
9404017001444
10127082424541
1149993796546
1220767791911
13bca35bc117
146217bdad09
15348bb51ab1
hex1d96b3e8dd

127082424541 has 16 divisors (see below), whose sum is σ = 131221209600. Its totient is φ = 123023385648.

The previous prime is 127082424517. The next prime is 127082424569. The reversal of 127082424541 is 145424280721.

It is a cyclic number.

It is not a de Polignac number, because 127082424541 - 25 = 127082424509 is a prime.

It is a super-2 number, since 2×1270824245412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 127082424494 and 127082424503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (127082424241) 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, 1029370 + ... + 1146196.

It is an arithmetic number, because the mean of its divisors is an integer number (8201325600).

Almost surely, 2127082424541 is an apocalyptic number.

It is an amenable number.

127082424541 is a deficient number, since it is larger than the sum of its proper divisors (4138785059).

127082424541 is a wasteful number, since it uses less digits than its factorization.

127082424541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117168.

The product of its (nonzero) digits is 143360, while the sum is 40.

The spelling of 127082424541 in words is "one hundred twenty-seven billion, eighty-two million, four hundred twenty-four thousand, five hundred forty-one".

Divisors: 1 59 103 179 6077 10561 18437 116827 1087783 6892793 12033181 20912033 709957679 1233809947 2153939399 127082424541