Search a number
-
+
101000000972 = 22133752494803
BaseRepresentation
bin101111000010000010…
…0011011010111001100
3100122200212022122200202
41132010010123113030
53123322000012342
6114222044313032
710203605562143
oct1360404332714
9318625278622
10101000000972
113991995a692
12176a8842778
1396a7a4a1b0
144c61bac75a
152961e1b332
hex178411b5cc

101000000972 has 24 divisors (see below), whose sum is σ = 195490650096. Its totient is φ = 45355508928.

The previous prime is 101000000971. The next prime is 101000001031. The reversal of 101000000972 is 279000000101.

It is not an unprimeable number, because it can be changed into a prime (101000000971) 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, 26245478 + ... + 26249325.

It is an arithmetic number, because the mean of its divisors is an integer number (8145443754).

Almost surely, 2101000000972 is an apocalyptic number.

It is an amenable number.

101000000972 is a deficient number, since it is larger than the sum of its proper divisors (94490649124).

101000000972 is a wasteful number, since it uses less digits than its factorization.

101000000972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52494857 (or 52494855 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 20.

The spelling of 101000000972 in words is "one hundred one billion, nine hundred seventy-two", and thus it is an aban number.

Divisors: 1 2 4 13 26 37 52 74 148 481 962 1924 52494803 104989606 209979212 682432439 1364864878 1942307711 2729729756 3884615422 7769230844 25250000243 50500000486 101000000972