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10130111100 = 223652138959
BaseRepresentation
bin10010110111100110…
…10011101001111100
3222010222120222000000
421123303103221330
5131221302023400
64353111234300
7506014344414
oct113363235174
928128528000
1010130111100
11432920244a
121b68678990
13c559446a5
146c1551644
153e450e600
hex25bcd3a7c

10130111100 has 126 divisors (see below), whose sum is σ = 32958671760. Its totient is φ = 2701343520.

The previous prime is 10130111093. The next prime is 10130111197. The reversal of 10130111100 is 111103101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 3421 + ... + 142379.

It is an arithmetic number, because the mean of its divisors is an integer number (261576760).

Almost surely, 210130111100 is an apocalyptic number.

10130111100 is a gapful number since it is divisible by the number (10) 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 10130111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16479335880).

10130111100 is an abundant number, since it is smaller than the sum of its proper divisors (22828560660).

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

10130111100 is a wasteful number, since it uses less digits than its factorization.

10130111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138991 (or 138969 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10130111100 its reverse (111103101), we get a palindrome (10241214201).

The spelling of 10130111100 in words is "ten billion, one hundred thirty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 729 810 900 972 1215 1350 1458 1620 2025 2430 2700 2916 3645 4050 4860 6075 7290 8100 12150 14580 18225 24300 36450 72900 138959 277918 416877 555836 694795 833754 1250631 1389590 1667508 2084385 2501262 2779180 3473975 3751893 4168770 5002524 6253155 6947950 7503786 8337540 10421925 11255679 12506310 13895900 15007572 18759465 20843850 22511358 25012620 31265775 33767037 37518930 41687700 45022716 56278395 62531550 67534074 75037860 93797325 101301111 112556790 125063100 135068148 168835185 187594650 202602222 225113580 281391975 337670370 375189300 405204444 506505555 562783950 675340740 844175925 1013011110 1125567900 1688351850 2026022220 2532527775 3376703700 5065055550 10130111100