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105104130241 = 1153829321739
BaseRepresentation
bin110000111100010110…
…0011100000011000001
3101001021212222000122111
41201320230130003001
53210223124131431
6120141214135321
710410402236455
oct1417054340301
9331255860574
10105104130241
11406355a5760
12184531b1541
139bb00c9a56
145130caa665
152b023ae7b1
hex1878b1c0c1

105104130241 has 16 divisors (see below), whose sum is σ = 116841890880. Its totient is φ = 93730777920.

The previous prime is 105104130233. The next prime is 105104130281. The reversal of 105104130241 is 142031401501.

It is a cyclic number.

It is not a de Polignac number, because 105104130241 - 23 = 105104130233 is a prime.

It is a super-2 number, since 2×1051041302412 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105104130281) 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, 4823950 + ... + 4845688.

It is an arithmetic number, because the mean of its divisors is an integer number (7302618180).

Almost surely, 2105104130241 is an apocalyptic number.

105104130241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105104130241 is a deficient number, since it is larger than the sum of its proper divisors (11737760639).

105104130241 is a wasteful number, since it uses less digits than its factorization.

105104130241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30096.

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 105104130241 its reverse (142031401501), we get a palindrome (247135531742).

The spelling of 105104130241 in words is "one hundred five billion, one hundred four million, one hundred thirty thousand, two hundred forty-one".

Divisors: 1 11 53 583 8293 21739 91223 239129 439529 1152167 4834819 12673837 180281527 1983096797 9554920931 105104130241