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105313828141 = 200353339859
BaseRepresentation
bin110001000010100110…
…0010111110100101101
3101001211111112210002101
41202011030113310231
53211140320000031
6120214104455101
710415526524554
oct1420514276455
9331744483071
10105313828141
1140732a01905
12184b147a491
139c1469b252
145150a94d9b
152b159d2361
hex1885317d2d

105313828141 has 8 divisors (see below), whose sum is σ = 105396852960. Its totient is φ = 105230837712.

The previous prime is 105313828129. The next prime is 105313828157. The reversal of 105313828141 is 141828313501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105313828141 - 231 = 103166344493 is a prime.

It is a super-2 number, since 2×1053138281412 (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 105313828141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105313828111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10677070 + ... + 10686928.

It is an arithmetic number, because the mean of its divisors is an integer number (13174606620).

Almost surely, 2105313828141 is an apocalyptic number.

It is an amenable number.

105313828141 is a deficient number, since it is larger than the sum of its proper divisors (83024819).

105313828141 is an equidigital number, since it uses as much as digits as its factorization.

105313828141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17195.

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 105313828141 in words is "one hundred five billion, three hundred thirteen million, eight hundred twenty-eight thousand, one hundred forty-one".

Divisors: 1 2003 5333 9859 10681999 19747577 52578047 105313828141