Search a number
-
+
220313322042 = 2311831092411531
BaseRepresentation
bin1100110100101110110…
…0101000001000111010
3210001200000101100210020
43031023230220020322
512102200202301132
6245113251031310
721626366224152
oct3151354501072
9701600340706
10220313322042
1185486143760
123684659b536
1317a108aa568
14a93dc47762
155ae698152c
hex334bb2823a

220313322042 has 128 divisors (see below), whose sum is σ = 493297136640. Its totient is φ = 65038464000.

The previous prime is 220313322041. The next prime is 220313322071. The reversal of 220313322042 is 240223313022.

It is not an unprimeable number, because it can be changed into a prime (220313322041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143900817 + ... + 143902347.

It is an arithmetic number, because the mean of its divisors is an integer number (3853883880).

Almost surely, 2220313322042 is an apocalyptic number.

220313322042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220313322042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246648568320).

220313322042 is an abundant number, since it is smaller than the sum of its proper divisors (272983814598).

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

220313322042 is a wasteful number, since it uses less digits than its factorization.

220313322042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 220313322042 its reverse (240223313022), we get a palindrome (460536635064).

The spelling of 220313322042 in words is "two hundred twenty billion, three hundred thirteen million, three hundred twenty-two thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 83 109 166 218 241 249 327 482 498 654 723 913 1199 1446 1531 1826 2398 2651 2739 3062 3597 4593 5302 5478 7194 7953 9047 9186 15906 16841 18094 20003 26269 27141 33682 40006 50523 52538 54282 60009 78807 99517 101046 120018 127073 157614 166879 199034 220033 254146 288959 298551 333758 368971 381219 440066 500637 577918 597102 660099 737942 762438 866877 1001274 1106913 1320198 1397803 1733754 1835669 2180327 2213826 2795606 3671338 4058681 4193409 4360654 5507007 6540981 8117362 8386818 11014014 12176043 13081962 13850957 23983597 24352086 27701914 30624593 40217839 41552871 47967194 61249186 71950791 80435678 83105742 91873779 120653517 143901582 152360527 183747558 241307034 304721054 336870523 442396229 457081581 673741046 884792458 914163162 1010611569 1327188687 2021223138 2654377374 3338080637 6676161274 10014241911 20028483822 36718887007 73437774014 110156661021 220313322042