Search a number
-
+
100676704340 = 22512637398341
BaseRepresentation
bin101110111000011001…
…1001001100001010100
3100121212022222111002102
41131300303021201110
53122141214014330
6114130015101232
710162601603312
oct1356063114124
9317768874072
10100676704340
1139773414093
1217618511818
139655a83604
144c30c930b2
152943859945
hex1770cc9854

100676704340 has 24 divisors (see below), whose sum is σ = 211438340232. Its totient is φ = 40267393920.

The previous prime is 100676704307. The next prime is 100676704351. The reversal of 100676704340 is 43407676001.

It can be written as a sum of positive squares in 4 ways, for example, as 129367876 + 100547336464 = 11374^2 + 317092^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100676704294 and 100676704303.

It is a congruent number.

It is an unprimeable number.

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, 53570 + ... + 451910.

It is an arithmetic number, because the mean of its divisors is an integer number (8809930843).

Almost surely, 2100676704340 is an apocalyptic number.

100676704340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100676704340 is an abundant number, since it is smaller than the sum of its proper divisors (110761635892).

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

100676704340 is a wasteful number, since it uses less digits than its factorization.

100676704340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410987 (or 410985 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The spelling of 100676704340 in words is "one hundred billion, six hundred seventy-six million, seven hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 12637 25274 50548 63185 126370 252740 398341 796682 1593364 1991705 3983410 7966820 5033835217 10067670434 20135340868 25169176085 50338352170 100676704340