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105471083341 = 13173147327553
BaseRepresentation
bin110001000111010010…
…0010000001101001101
3101002020110110011200001
41202032210100031031
53212001044131331
6120241443204301
710422446262541
oct1421644201515
9332213404601
10105471083341
1140803749a88
1218536076691
139c3b13a570
14516790ba21
152b246e6561
hex188e91034d

105471083341 has 32 divisors (see below), whose sum is σ = 126786981888. Its totient is φ = 86788177920.

The previous prime is 105471083299. The next prime is 105471083381. The reversal of 105471083341 is 143380174501.

It is a cyclic number.

It is not a de Polignac number, because 105471083341 - 225 = 105437528909 is a prime.

It is a super-2 number, since 2×1054710833412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105471083341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105471083381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158221 + ... + 485773.

It is an arithmetic number, because the mean of its divisors is an integer number (3962093184).

Almost surely, 2105471083341 is an apocalyptic number.

It is an amenable number.

105471083341 is a deficient number, since it is larger than the sum of its proper divisors (21315898547).

105471083341 is a wasteful number, since it uses less digits than its factorization.

105471083341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327661.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 105471083341 in words is "one hundred five billion, four hundred seventy-one million, eighty-three thousand, three hundred forty-one".

Divisors: 1 13 17 31 47 221 403 527 611 799 1457 6851 10387 18941 24769 321997 327553 4258189 5568401 10154143 15394991 72389213 132003859 172620431 200134883 261714847 477244721 2244065603 3402293011 6204181373 8113160257 105471083341