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100101105055050 = 235211101600666697
BaseRepresentation
bin10110110000101010011010…
…110011101111010101001010
3111010102120110010022111002020
4112300222122303233111022
5101110024030343230200
6552521451322545310
730041031462006501
oct2660523263572512
9433376403274066
10100101105055050
112999370519a510
12b288321668236
1343b16558861c8
141aa0cc2929838
15b88cd5a3cea0
hex5b0a9acef54a

100101105055050 has 96 divisors (see below), whose sum is σ = 273500366266944. Its totient is φ = 24026667840000.

The previous prime is 100101105055019. The next prime is 100101105055099. The reversal of 100101105055050 is 50550501101001.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100101105055050.

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, 300166699 + ... + 300499998.

It is an arithmetic number, because the mean of its divisors is an integer number (2848962148614).

Almost surely, 2100101105055050 is an apocalyptic number.

100101105055050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101105055050 is an abundant number, since it is smaller than the sum of its proper divisors (173399261211894).

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

100101105055050 is a wasteful number, since it uses less digits than its factorization.

100101105055050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600666824 (or 600666819 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 24.

Adding to 100101105055050 its reverse (50550501101001), we get a palindrome (150651606156051).

The spelling of 100101105055050 in words is "one hundred trillion, one hundred one billion, one hundred five million, fifty-five thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 101 110 150 165 202 275 303 330 505 550 606 825 1010 1111 1515 1650 2222 2525 3030 3333 5050 5555 6666 7575 11110 15150 16665 27775 33330 55550 83325 166650 600666697 1201333394 1802000091 3003333485 3604000182 6006666970 6607333667 9010000455 13214667334 15016667425 18020000910 19822001001 30033334850 33036668335 39644002002 45050002275 60667336397 66073336670 90100004550 99110005005 121334672794 165183341675 182002009191 198220010010 303336681985 330366683350 364004018382 495550025025 606673363970 667340700367 910010045955 991100050050 1334681400734 1516683409925 1820020091910 2002022101101 3033366819850 3336703501835 4004044202202 4550050229775 6673407003670 9100100459550 10010110505505 16683517509175 20020221011010 33367035018350 50050552527525 100101105055050