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10104034101 = 372942139409
BaseRepresentation
bin10010110100011111…
…10101001100110101
3222002011112010002020
421122033311030311
5131143113042401
64350340303353
7505246605240
oct113217651465
928064463066
1010104034101
114315511407
121b5b9a1b59
13c50414205
146bbcc4257
153e20acd36
hex25a3f5335

10104034101 has 32 divisors (see below), whose sum is σ = 15965779200. Its totient is φ = 5561256960.

The previous prime is 10104034081. The next prime is 10104034117. The reversal of 10104034101 is 10143040101.

It is not a de Polignac number, because 10104034101 - 210 = 10104033077 is a prime.

It is a super-2 number, since 2×101040341012 (a number of 21 digits) contains 22 as substring.

10104034101 is a modest number, since divided by 34101 gives 10104 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10104034121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236685 + ... + 276093.

It is an arithmetic number, because the mean of its divisors is an integer number (498930600).

Almost surely, 210104034101 is an apocalyptic number.

It is an amenable number.

10104034101 is a deficient number, since it is larger than the sum of its proper divisors (5861745099).

10104034101 is a wasteful number, since it uses less digits than its factorization.

10104034101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39869.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10104034101 its reverse (10143040101), we get a palindrome (20247074202).

The spelling of 10104034101 in words is "ten billion, one hundred four million, thirty-four thousand, one hundred one".

Divisors: 1 3 7 21 29 87 203 421 609 1263 2947 8841 12209 36627 39409 85463 118227 256389 275863 827589 1142861 3428583 8000027 16591189 24000081 49773567 116138323 348414969 481144481 1443433443 3368011367 10104034101