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317196100 = 22521321372
BaseRepresentation
bin10010111010000…
…000011101000100
3211002212020020201
4102322000131010
51122200233400
651250340244
710601056654
oct2272003504
9732766221
10317196100
1115305a141
128a28a684
135093bc00
14301ac364
151cca906a
hex12e80744

317196100 has 81 divisors (see below), whose sum is σ = 750815877. Its totient is φ = 116263680.

The previous prime is 317196097. The next prime is 317196101. The reversal of 317196100 is 1691713.

The square root of 317196100 is 17810.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 281769796 + 35426304 = 16786^2 + 5952^2 .

It is a super-2 number, since 2×3171961002 = 201226731710420000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (317196101) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 2315232 + ... + 2315368.

Almost surely, 2317196100 is an apocalyptic number.

317196100 is the 17810-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 317196100

317196100 is an abundant number, since it is smaller than the sum of its proper divisors (433619777).

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

317196100 is a wasteful number, since it uses less digits than its factorization.

317196100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The cubic root of 317196100 is about 681.9867645628.

The spelling of 317196100 in words is "three hundred seventeen million, one hundred ninety-six thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 137 169 260 274 325 338 548 650 676 685 845 1300 1370 1690 1781 2740 3380 3425 3562 4225 6850 7124 8450 8905 13700 16900 17810 18769 23153 35620 37538 44525 46306 75076 89050 92612 93845 115765 178100 187690 231530 243997 375380 463060 469225 487994 578825 938450 975988 1157650 1219985 1876900 2315300 2439970 3171961 4879940 6099925 6343922 12199850 12687844 15859805 24399700 31719610 63439220 79299025 158598050 317196100