Search a number
-
+
10103713448 = 231929279039
BaseRepresentation
bin10010110100011101…
…00110111010101000
3222002010220211020012
421122032212322220
5131143022312243
64350325351052
7505244101343
oct113216467250
928063824205
1010103713448
114315312504
121b5b868488
13c5033128a
146bbc3d45a
153e2047d18
hex25a3a6ea8

10103713448 has 48 divisors (see below), whose sum is σ = 20653152000. Its totient is φ = 4620877632.

The previous prime is 10103713439. The next prime is 10103713457. The reversal of 10103713448 is 84431730101.

10103713448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10103713439) and next prime (10103713457).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88313 + ... + 167351.

It is an arithmetic number, because the mean of its divisors is an integer number (430274000).

Almost surely, 210103713448 is an apocalyptic number.

It is an amenable number.

10103713448 is an abundant number, since it is smaller than the sum of its proper divisors (10549438552).

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

10103713448 is a wasteful number, since it uses less digits than its factorization.

10103713448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79122 (or 79089 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 10103713448 in words is "ten billion, one hundred three million, seven hundred thirteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 19 29 38 58 76 116 152 232 551 841 1102 1682 2204 3364 4408 6728 15979 31958 63916 79039 127832 158078 316156 632312 1501741 2292131 3003482 4584262 6006964 9168524 12013928 18337048 43550489 66471799 87100978 132943598 174201956 265887196 348403912 531774392 1262964181 2525928362 5051856724 10103713448