Search a number
-
+
111050001240120 = 233253115976230881
BaseRepresentation
bin11001001111111111010111…
…111000000101000000111000
3112120012021110112010101100100
4121033333113320011000320
5104023420400304140440
61032103355530235400
732251045361015055
oct3117772770050070
9476167415111310
10111050001240120
113242504a6a5928
1210556298885b60
1349c6c7c6522c7
141d5cbc4d1c02c
15cc89ea9b6230
hex64ffd7e05038

111050001240120 has 192 divisors, whose sum is σ = 372788186883840. Its totient is φ = 28640115302400.

The previous prime is 111050001239987. The next prime is 111050001240121. The reversal of 111050001240120 is 21042100050111.

111050001240120 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 500 + 0 + 1 + 2 + 40 + 120 = 666.

It is a super-2 number, since 2×1110500012401202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111050001240093 and 111050001240102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111050001240121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14707080 + ... + 20937960.

It is an arithmetic number, because the mean of its divisors is an integer number (1941605140020).

Almost surely, 2111050001240120 is an apocalyptic number.

111050001240120 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 111050001240120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186394093441920).

111050001240120 is an abundant number, since it is smaller than the sum of its proper divisors (261738185643720).

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

111050001240120 is a wasteful number, since it uses less digits than its factorization.

111050001240120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232526 (or 6232519 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 111050001240120 its reverse (21042100050111), we get a palindrome (132092101290231).

The spelling of 111050001240120 in words is "one hundred eleven trillion, fifty billion, one million, two hundred forty thousand, one hundred twenty".