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103919271104 = 26111033142897
BaseRepresentation
bin110000011001000010…
…0100011110011000000
3100221020022102221110202
41200302010203303000
53200311313133404
6115423450344332
710336134141605
oct1406204436300
9327208387422
10103919271104
11400877a0530
121818242b0a8
139a517a707c
14505b79c6ac
152a8336521e
hex1832123cc0

103919271104 has 56 divisors (see below), whose sum is σ = 225180954768. Its totient is φ = 47189975040.

The previous prime is 103919271103. The next prime is 103919271109. The reversal of 103919271104 is 401172919301.

It is not an unprimeable number, because it can be changed into a prime (103919271101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 655784 + ... + 798680.

It is an arithmetic number, because the mean of its divisors is an integer number (4021088478).

Almost surely, 2103919271104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103919271104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112590477384).

103919271104 is an abundant number, since it is smaller than the sum of its proper divisors (121261683664).

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

103919271104 is a wasteful number, since it uses less digits than its factorization.

103919271104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143953 (or 143943 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 38.

The spelling of 103919271104 in words is "one hundred three billion, nine hundred nineteen million, two hundred seventy-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 1033 2066 4132 8264 11363 16528 22726 33056 45452 66112 90904 142897 181808 285794 363616 571588 727232 1143176 1571867 2286352 3143734 4572704 6287468 9145408 12574936 25149872 50299744 100599488 147612601 295225202 590450404 1180900808 1623738611 2361801616 3247477222 4723603232 6494954444 9447206464 12989908888 25979817776 51959635552 103919271104