Search a number
-
+
120021110022 = 23118910122003
BaseRepresentation
bin110111111000111010…
…0001100110100000110
3102110210110220010000010
41233301310030310012
53431300401010042
6131045324531050
711446143413442
oct1576164146406
9373713803003
10120021110022
114699a873420
121b3169b0a86
13b419698ac8
145b4807d822
1531c6c7559c
hex1bf1d0cd06

120021110022 has 96 divisors (see below), whose sum is σ = 267587867520. Its totient is φ = 35587552000.

The previous prime is 120021109993. The next prime is 120021110023. The reversal of 120021110022 is 220011120021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120021110023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59919673 + ... + 59921675.

It is an arithmetic number, because the mean of its divisors is an integer number (2787373620).

Almost surely, 2120021110022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120021110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133793933760).

120021110022 is an abundant number, since it is smaller than the sum of its proper divisors (147566757498).

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

120021110022 is a wasteful number, since it uses less digits than its factorization.

120021110022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120021110022 its reverse (220011120021), we get a palindrome (340032230043).

Subtracting 120021110022 from its reverse (220011120021), we obtain a palindrome (99990009999).

The spelling of 120021110022 in words is "one hundred twenty billion, twenty-one million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 66 89 101 178 202 267 303 534 606 979 1111 1958 2003 2222 2937 3333 4006 5874 6009 6666 8989 10201 12018 17978 20402 22033 26967 30603 44066 53934 61206 66099 98879 112211 132198 178267 197758 202303 224422 296637 336633 356534 404606 534801 593274 606909 673266 907889 1069602 1213818 1815778 1960937 2225333 2723667 3921874 4450666 5447334 5882811 6675999 9986779 11765622 13351998 18004967 19973558 20432603 29960337 36009934 40865206 54014901 59920674 61297809 108029802 122595618 198054637 224758633 396109274 449517266 594163911 674275899 1188327822 1348551798 1818501667 3637003334 5455505001 10911010002 20003518337 40007036674 60010555011 120021110022