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104921806041 = 321335306317
BaseRepresentation
bin110000110110111010…
…0111011010011011001
3101000211011212222212100
41201231310323103121
53204334440243131
6120111142234013
710403026431153
oct1415564732331
9330734788770
10104921806041
11405516958a8
1218402125909
139b813c1000
1451149a9ad3
152ae13977e6
hex186dd3b4d9

104921806041 has 24 divisors (see below), whose sum is σ = 164177478920. Its totient is φ = 64567253088.

The previous prime is 104921806021. The next prime is 104921806049. The reversal of 104921806041 is 140608129401.

104921806041 is a `hidden beast` number, since 1 + 0 + 49 + 2 + 1 + 8 + 0 + 604 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66904995600 + 38016810441 = 258660^2 + 194979^2 .

It is not a de Polignac number, because 104921806041 - 26 = 104921805977 is a prime.

It is a super-2 number, since 2×1049218060412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 104921805987 and 104921806005.

It is not an unprimeable number, because it can be changed into a prime (104921806049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2633386 + ... + 2672931.

Almost surely, 2104921806041 is an apocalyptic number.

It is an amenable number.

104921806041 is a deficient number, since it is larger than the sum of its proper divisors (59255672879).

104921806041 is an equidigital number, since it uses as much as digits as its factorization.

104921806041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306362 (or 5306333 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 104921806041 in words is "one hundred four billion, nine hundred twenty-one million, eight hundred six thousand, forty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 2197 6591 19773 5306317 15918951 47756853 68982121 206946363 620839089 896767573 2690302719 8070908157 11657978449 34973935347 104921806041