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101220130110 = 2351138922027
BaseRepresentation
bin101111001000100110…
…0001001110100111110
3100200021012112101002210
41132101030021310332
53124244323130420
6114255550401250
710212220624101
oct1362114116476
9320235471083
10101220130110
1139a221409a0
121774a500226
139711531618
144c83110738
1529763ee9e0
hex1791309d3e

101220130110 has 96 divisors (see below), whose sum is σ = 265826800512. Its totient is φ = 24463058560.

The previous prime is 101220130087. The next prime is 101220130127. The reversal of 101220130110 is 11031022101.

It is a super-2 number, since 2×1012201301102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49934917 + ... + 49936943.

It is an arithmetic number, because the mean of its divisors is an integer number (2769029172).

Almost surely, 2101220130110 is an apocalyptic number.

101220130110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101220130110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132913400256).

101220130110 is an abundant number, since it is smaller than the sum of its proper divisors (164606670402).

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

101220130110 is a wasteful number, since it uses less digits than its factorization.

101220130110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101220130110 its reverse (11031022101), we get a palindrome (112251152211).

The spelling of 101220130110 in words is "one hundred one billion, two hundred twenty million, one hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 389 778 1167 1945 2027 2334 3890 4054 4279 5835 6081 8558 10135 11670 12162 12837 20270 21395 22297 25674 30405 42790 44594 60810 64185 66891 111485 128370 133782 151321 222970 302642 334455 453963 668910 756605 788503 907926 1513210 1577006 1664531 2269815 2365509 3329062 3942515 4539630 4731018 4993593 7885030 8322655 8673533 9987186 11827545 16645310 17347066 23655090 24967965 26020599 43367665 49935930 52041198 86735330 130102995 260205990 306727667 613455334 920183001 1533638335 1840366002 3067276670 3374004337 4600915005 6748008674 9201830010 10122013011 16870021685 20244026022 33740043370 50610065055 101220130110