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101130023000 = 23534316714083
BaseRepresentation
bin101111000101111010…
…0011011000001011000
3100200000220222110101102
41132023310123001120
53124103241214000
6114243011210532
710210045004126
oct1361364330130
9320026873342
10101130023000
1139986297106
12177242a6a48
1396c89729c6
144c75176916
15296d5513d5
hex178bd1b058

101130023000 has 128 divisors (see below), whose sum is σ = 243614891520. Its totient is φ = 39271881600.

The previous prime is 101130022997. The next prime is 101130023021. The reversal of 101130023000 is 320031101.

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, 7173959 + ... + 7188041.

It is an arithmetic number, because the mean of its divisors is an integer number (1903241340).

Almost surely, 2101130023000 is an apocalyptic number.

101130023000 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 101130023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121807445760).

101130023000 is an abundant number, since it is smaller than the sum of its proper divisors (142484868520).

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

101130023000 is a wasteful number, since it uses less digits than its factorization.

101130023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14314 (or 14300 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 101130023000 its reverse (320031101), we get a palindrome (101450054101).

The spelling of 101130023000 in words is "one hundred one billion, one hundred thirty million, twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 167 172 200 215 250 334 344 430 500 668 835 860 1000 1075 1336 1670 1720 2150 3340 4175 4300 5375 6680 7181 8350 8600 10750 14083 14362 16700 20875 21500 28166 28724 33400 35905 41750 43000 56332 57448 70415 71810 83500 112664 140830 143620 167000 179525 281660 287240 352075 359050 563320 605569 704150 718100 897625 1211138 1408300 1436200 1760375 1795250 2351861 2422276 2816600 3027845 3520750 3590500 4703722 4844552 6055690 7041500 7181000 9407444 11759305 12111380 14083000 15139225 18814888 23518610 24222760 30278450 47037220 58796525 60556900 75696125 94074440 101130023 117593050 121113800 151392250 202260046 235186100 293982625 302784500 404520092 470372200 505650115 587965250 605569000 809040184 1011300230 1175930500 2022600460 2351861000 2528250575 4045200920 5056501150 10113002300 12641252875 20226004600 25282505750 50565011500 101130023000