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210117210716 = 227191379712969
BaseRepresentation
bin1100001110101111110…
…1100011001001011100
3202002100102121020111102
43003223331203021130
511420310001220331
6240305421012232
721115620552110
oct3035375431134
9662312536442
10210117210716
1181123762376
123487b9b4078
1316a77397aaa
14a253a35740
1556eb7864cb
hex30ebf6325c

210117210716 has 96 divisors (see below), whose sum is σ = 446189990400. Its totient is φ = 84572328960.

The previous prime is 210117210707. The next prime is 210117210749. The reversal of 210117210716 is 617012711012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70768880 + ... + 70771848.

It is an arithmetic number, because the mean of its divisors is an integer number (4647812400).

Almost surely, 2210117210716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210117210716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223094995200).

210117210716 is an abundant number, since it is smaller than the sum of its proper divisors (236072779684).

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

210117210716 is a wasteful number, since it uses less digits than its factorization.

210117210716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 29.

Adding to 210117210716 its reverse (617012711012), we get a palindrome (827129921728).

The spelling of 210117210716 in words is "two hundred ten billion, one hundred seventeen million, two hundred ten thousand, seven hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 76 133 137 266 274 532 548 959 971 1918 1942 2603 2969 3836 3884 5206 5938 6797 10412 11876 13594 18221 18449 20783 27188 36442 36898 41566 56411 72884 73796 83132 112822 129143 133027 225644 258286 266054 394877 406753 516572 532108 789754 813506 931189 1579508 1627012 1862378 2527513 2847271 2882899 3724756 5055026 5694542 5765798 7728307 10110052 11389084 11531596 15456614 17692591 20180293 30913228 35385182 40360586 54098149 54775081 70770364 80721172 108196298 109550162 216392596 219100324 383425567 394957163 766851134 789914326 1533702268 1579828652 2764700141 5529400282 7504186097 11058800564 15008372194 30016744388 52529302679 105058605358 210117210716