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124105216541 = 4113733296637
BaseRepresentation
bin111001110010100111…
…1110101001000011101
3102212100002212012220112
41303211033311020131
54013131413412131
6133002501255405
711652304635515
oct1634517651035
9385302765815
10124105216541
11486a6183069
1220076704565
13b91a857a97
146014648845
1533655b102b
hex1ce53f521d

124105216541 has 16 divisors (see below), whose sum is σ = 128117913840. Its totient is φ = 120140267520.

The previous prime is 124105216427. The next prime is 124105216553. The reversal of 124105216541 is 145612501421.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 42540712516 + 81564504025 = 206254^2 + 285595^2 .

It is a cyclic number.

It is not a de Polignac number, because 124105216541 - 210 = 124105215517 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 124105216498 and 124105216507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124105213541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18695675 + ... + 18702311.

It is an arithmetic number, because the mean of its divisors is an integer number (8007369615).

Almost surely, 2124105216541 is an apocalyptic number.

It is an amenable number.

124105216541 is a deficient number, since it is larger than the sum of its proper divisors (4012697299).

124105216541 is a wasteful number, since it uses less digits than its factorization.

124105216541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10144.

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 124105216541 its reverse (145612501421), we get a palindrome (269717717962).

The spelling of 124105216541 in words is "one hundred twenty-four billion, one hundred five million, two hundred sixteen thousand, five hundred forty-one".

Divisors: 1 41 137 3329 5617 6637 136489 272117 456073 909269 18698993 22094573 37280029 905877493 3026956501 124105216541