Search a number
-
+
101004968 = 2337341233
BaseRepresentation
bin1100000010100…
…11011010101000
321001001120202202
412001103122220
5201324124333
614004515332
72334346061
oct601233250
9231046682
10101004968
1152018589
12299abb48
1317c0606c
14d5b3568
158d025e8
hex60536a8

101004968 has 16 divisors (see below), whose sum is σ = 194503380. Its totient is φ = 49137408.

The previous prime is 101004929. The next prime is 101004971. The reversal of 101004968 is 869400101.

It can be written as a sum of positive squares in 2 ways, for example, as 97970404 + 3034564 = 9898^2 + 1742^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101004968.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 170321 + ... + 170912.

Almost surely, 2101004968 is an apocalyptic number.

It is an amenable number.

101004968 is a deficient number, since it is larger than the sum of its proper divisors (93498412).

101004968 is a wasteful number, since it uses less digits than its factorization.

101004968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341276 (or 341272 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 101004968 is about 10050.1227853196. The cubic root of 101004968 is about 465.7085863064.

The spelling of 101004968 in words is "one hundred one million, four thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 37 74 148 296 341233 682466 1364932 2729864 12625621 25251242 50502484 101004968