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101125242230550 = 23525939292908267
BaseRepresentation
bin10110111111100100001110…
…001001000001011100010110
3111021001110221000002110200020
4112333210032021001130112
5101223313444002334200
6555024143412530010
730205025526243546
oct2677441611013426
9437043830073606
10101125242230550
112a248a79a0062a
12b4128bb020906
1344570b96a98c5
141ad86b88b9326
15ba577633eea0
hex5bf90e241716

101125242230550 has 96 divisors (see below), whose sum is σ = 255106289116800. Its totient is φ = 26502911727360.

The previous prime is 101125242230549. The next prime is 101125242230603. The reversal of 101125242230550 is 55032242521101.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33317517 + ... + 36225783.

It is an arithmetic number, because the mean of its divisors is an integer number (2657357178300).

Almost surely, 2101125242230550 is an apocalyptic number.

101125242230550 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 101125242230550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127553144558400).

101125242230550 is an abundant number, since it is smaller than the sum of its proper divisors (153981046886250).

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

101125242230550 is a wasteful number, since it uses less digits than its factorization.

101125242230550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912270 (or 2912265 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 101125242230550 its reverse (55032242521101), we get a palindrome (156157484751651).

The spelling of 101125242230550 in words is "one hundred one trillion, one hundred twenty-five billion, two hundred forty-two million, two hundred thirty thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 59 75 118 150 177 295 354 590 885 1475 1770 2950 3929 4425 7858 8850 11787 19645 23574 39290 58935 98225 117870 196450 231811 294675 463622 589350 695433 1159055 1390866 2318110 2908267 3477165 5795275 5816534 6954330 8724801 11590550 14541335 17385825 17449602 29082670 34771650 43624005 72706675 87248010 145413350 171587753 218120025 343175506 436240050 514763259 857938765 1029526518 1715877530 2573816295 4289693825 5147632590 8579387650 11426581043 12869081475 22853162086 25738162950 34279743129 57132905215 68559486258 114265810430 171398715645 285664526075 342797431290 571329052150 674168281537 856993578225 1348336563074 1713987156450 2022504844611 3370841407685 4045009689222 6741682815370 10112524223055 16854207038425 20225048446110 33708414076850 50562621115275 101125242230550