Search a number
-
+
100516314 = 23103116249
BaseRepresentation
bin1011111110111…
…00000111011010
321000010202110110
411333130013122
5201213010224
613550225150
72330242323
oct577340732
9230122413
10100516314
1151814438
12297b51b6
1317a94812
14d4c744a
158c57929
hex5fdc1da

100516314 has 16 divisors (see below), whose sum is σ = 201240000. Its totient is φ = 33470880.

The previous prime is 100516303. The next prime is 100516319. The reversal of 100516314 is 413615001.

It is not an unprimeable number, because it can be changed into a prime (100516319) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1939 + ... + 14310.

It is an arithmetic number, because the mean of its divisors is an integer number (12577500).

Almost surely, 2100516314 is an apocalyptic number.

100516314 is an abundant number, since it is smaller than the sum of its proper divisors (100723686).

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

100516314 is a wasteful number, since it uses less digits than its factorization.

100516314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17285.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 100516314 is about 10025.7824632295. The cubic root of 100516314 is about 464.9563515510.

The spelling of 100516314 in words is "one hundred million, five hundred sixteen thousand, three hundred fourteen".

Divisors: 1 2 3 6 1031 2062 3093 6186 16249 32498 48747 97494 16752719 33505438 50258157 100516314