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105175123424 = 2571237379573
BaseRepresentation
bin110000111110011101…
…1010000010111100000
3101001110211112211222122
41201330323100113200
53210344312422144
6120152231523412
710412223540620
oct1417473202740
9331424484878
10105175123424
1140671684a08
1218472b29568
139bc1a25657
14513a4aa880
152b087347ee
hex187ced05e0

105175123424 has 48 divisors (see below), whose sum is σ = 236835956448. Its totient is φ = 45038495232.

The previous prime is 105175123381. The next prime is 105175123451. The reversal of 105175123424 is 424321571501.

It is a super-2 number, since 2×1051751234242 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87302 + ... + 466874.

It is an arithmetic number, because the mean of its divisors is an integer number (4934082426).

Almost surely, 2105175123424 is an apocalyptic number.

105175123424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105175123424 is an abundant number, since it is smaller than the sum of its proper divisors (131660833024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105175123424 is a wasteful number, since it uses less digits than its factorization.

105175123424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380827 (or 380819 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

Adding to 105175123424 its reverse (424321571501), we get a palindrome (529496694925).

The spelling of 105175123424 in words is "one hundred five billion, one hundred seventy-five million, one hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1237 2474 4948 8659 9896 17318 19792 34636 39584 69272 138544 277088 379573 759146 1518292 2657011 3036584 5314022 6073168 10628044 12146336 21256088 42512176 85024352 469531801 939063602 1878127204 3286722607 3756254408 6573445214 7512508816 13146890428 15025017632 26293780856 52587561712 105175123424