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105004351312 = 2475915890489
BaseRepresentation
bin110000111001010111…
…1110011111101010000
3101001000221012201200121
41201302233303331100
53210022103220222
6120123251400024
710405051155010
oct1416257637520
9331027181617
10105004351312
1140594245333
12184258b3014
139b95532a73
145121935c40
152ae87505c7
hex1872bf3f50

105004351312 has 40 divisors (see below), whose sum is σ = 236450491200. Its totient is φ = 44239118592.

The previous prime is 105004351289. The next prime is 105004351313. The reversal of 105004351312 is 213153400501.

It is a happy number.

It is a super-2 number, since 2×1050043513122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105004351313) 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, 7938637 + ... + 7951852.

It is an arithmetic number, because the mean of its divisors is an integer number (5911262280).

Almost surely, 2105004351312 is an apocalyptic number.

It is an amenable number.

105004351312 is an abundant number, since it is smaller than the sum of its proper divisors (131446139888).

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

105004351312 is a wasteful number, since it uses less digits than its factorization.

105004351312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15890563 (or 15890557 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 105004351312 its reverse (213153400501), we get a palindrome (318157751813).

The spelling of 105004351312 in words is "one hundred five billion, four million, three hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1652 3304 6608 15890489 31780978 63561956 111233423 127123912 222466846 254247824 444933692 889867384 937538851 1779734768 1875077702 3750155404 6562771957 7500310808 13125543914 15000621616 26251087828 52502175656 105004351312