Search a number
-
+
103271168 = 2871113231
BaseRepresentation
bin1100010011111…
…00101100000000
321012022201102002
412021330230000
5202414134133
614125243132
72362535060
oct611745400
9235281362
10103271168
1153326180
122a7034a8
131851a700
14da033a0
1590edce8
hex627cb00

103271168 has 216 divisors, whose sum is σ = 287271936. Its totient is φ = 35942400.

The previous prime is 103271167. The next prime is 103271171. The reversal of 103271168 is 861172301.

It is a self number, because there is not a number n which added to its sum of digits gives 103271168.

It is not an unprimeable number, because it can be changed into a prime (103271167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3331313 + ... + 3331343.

Almost surely, 2103271168 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 103271168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143635968).

103271168 is an abundant number, since it is smaller than the sum of its proper divisors (184000768).

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

103271168 is a wasteful number, since it uses less digits than its factorization.

103271168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 103271168 is about 10162.2422722547. The cubic root of 103271168 is about 469.1658177423.

The spelling of 103271168 in words is "one hundred three million, two hundred seventy-one thousand, one hundred sixty-eight".