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8163801100 = 22527134121881
BaseRepresentation
bin1111001101001100…
…11011100000001100
3210001221122001202201
413212212123200030
5113204413113400
63430030331244
7406210110250
oct74646334014
923057561681
108163801100
11350a286664
1216ba059b24
13a01464a50
14576346260
1532baa406a
hex1e699b80c

8163801100 has 144 divisors (see below), whose sum is σ = 22336445376. Its totient is φ = 2520576000.

The previous prime is 8163801097. The next prime is 8163801127. The reversal of 8163801100 is 11083618.

It is a happy number.

It is a super-2 number, since 2×81638011002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362160 + ... + 384040.

It is an arithmetic number, because the mean of its divisors is an integer number (155114204).

Almost surely, 28163801100 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 8163801100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11168222688).

8163801100 is an abundant number, since it is smaller than the sum of its proper divisors (14172644276).

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

8163801100 is a wasteful number, since it uses less digits than its factorization.

8163801100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21956 (or 21949 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 8163801100 is about 90353.7553176402. The cubic root of 8163801100 is about 2013.5579746444.

Adding to 8163801100 its reverse (11083618), we get a palindrome (8174884718).

The spelling of 8163801100 in words is "eight billion, one hundred sixty-three million, eight hundred one thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 41 50 52 65 70 82 91 100 130 140 164 175 182 205 260 287 325 350 364 410 455 533 574 650 700 820 910 1025 1066 1148 1300 1435 1820 2050 2132 2275 2665 2870 3731 4100 4550 5330 5740 7175 7462 9100 10660 13325 14350 14924 18655 21881 26650 28700 37310 43762 53300 74620 87524 93275 109405 153167 186550 218810 284453 306334 373100 437620 547025 568906 612668 765835 897121 1094050 1137812 1422265 1531670 1794242 1991171 2188100 2844530 3063340 3588484 3829175 3982342 4485605 5689060 6279847 7111325 7658350 7964684 8971210 9955855 11662573 12559694 14222650 15316700 17942420 19911710 22428025 23325146 25119388 28445300 31399235 39823420 44856050 46650292 49779275 58312865 62798470 81638011 89712100 99558550 116625730 125596940 156996175 163276022 199117100 233251460 291564325 313992350 326552044 408190055 583128650 627984700 816380110 1166257300 1632760220 2040950275 4081900550 8163801100