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10117422288 = 243447166099
BaseRepresentation
bin10010110110000101…
…11001110011010000
3222010002201022020000
421123002321303100
5131210030003123
64351535250000
7505501445661
oct113302716320
928102638200
1010117422288
114322026126
121b64379900
13c5312100c
146bd9ab368
153e3354b43
hex25b0b9cd0

10117422288 has 100 divisors (see below), whose sum is σ = 29905972800. Its totient is φ = 3300699456.

The previous prime is 10117422281. The next prime is 10117422317. The reversal of 10117422288 is 88222471101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117422281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 22138 + ... + 143961.

It is an arithmetic number, because the mean of its divisors is an integer number (299059728).

Almost surely, 210117422288 is an apocalyptic number.

10117422288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10117422288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14952986400).

10117422288 is an abundant number, since it is smaller than the sum of its proper divisors (19788550512).

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

10117422288 is a wasteful number, since it uses less digits than its factorization.

10117422288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166166 (or 166151 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

Adding to 10117422288 its reverse (88222471101), we get a palindrome (98339893389).

The spelling of 10117422288 in words is "ten billion, one hundred seventeen million, four hundred twenty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 188 216 282 324 376 423 432 564 648 752 846 1128 1269 1296 1692 2256 2538 3384 3807 5076 6768 7614 10152 15228 20304 30456 60912 166099 332198 498297 664396 996594 1328792 1494891 1993188 2657584 2989782 3986376 4484673 5979564 7806653 7972752 8969346 11959128 13454019 15613306 17938692 23419959 23918256 26908038 31226612 35877384 46839918 53816076 62453224 70259877 71754768 93679836 107632152 124906448 140519754 187359672 210779631 215264304 281039508 374719344 421559262 562079016 632338893 843118524 1124158032 1264677786 1686237048 2529355572 3372474096 5058711144 10117422288