Search a number
-
+
100973956209 = 3747759113477
BaseRepresentation
bin101111000001010000…
…1000100110001110001
3100122122001022102222220
41132002201010301301
53123243313044314
6114215314151253
710203141315660
oct1360241046161
9318561272886
10100973956209
1139906190895
121769bb82529
1396a252b5a9
144c5c54cdd7
15295e9c43a9
hex1782844c71

100973956209 has 32 divisors (see below), whose sum is σ = 157171163136. Its totient is φ = 56460127680.

The previous prime is 100973956159. The next prime is 100973956217. The reversal of 100973956209 is 902659379001.

It is a happy number.

It is not a de Polignac number, because 100973956209 - 29 = 100973955697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100973956219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7485579 + ... + 7499055.

It is an arithmetic number, because the mean of its divisors is an integer number (4911598848).

Almost surely, 2100973956209 is an apocalyptic number.

It is an amenable number.

100973956209 is a deficient number, since it is larger than the sum of its proper divisors (56197206927).

100973956209 is a wasteful number, since it uses less digits than its factorization.

100973956209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21125.

The product of its (nonzero) digits is 918540, while the sum is 51.

The spelling of 100973956209 in words is "one hundred billion, nine hundred seventy-three million, nine hundred fifty-six thousand, two hundred nine".

Divisors: 1 3 7 21 47 141 329 987 7591 13477 22773 40431 53137 94339 159411 283017 356777 633419 1070331 1900257 2497439 4433933 7492317 13301799 102303907 306911721 716127349 2148382047 4808283629 14424850887 33657985403 100973956209