Search a number
-
+
331131303033222 = 231971149274568537
BaseRepresentation
bin100101101001010011000001…
…1101100001111100110000110
31121102102211202211212221222210
41023102212003230033212012
5321400223402034030342
63132131342013404250
7126514306243245336
oct11322460354174606
91542384684787883
10331131303033222
1196565aa6a9475a
123117b56b499686
131129c717941ba3
145baabaa7a50c6
15284374230179c
hex12d2983b0f986

331131303033222 has 64 divisors (see below), whose sum is σ = 711681650496000. Its totient is φ = 102403081186560.

The previous prime is 331131303033199. The next prime is 331131303033259. The reversal of 331131303033222 is 222330303131133.

It is a super-3 number, since 3×3311313030332223 (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331131303033222.

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 31 ways as a sum of consecutive naturals, for example, 136078263 + ... + 138490274.

It is an arithmetic number, because the mean of its divisors is an integer number (11120025789000).

Almost surely, 2331131303033222 is an apocalyptic number.

331131303033222 is an abundant number, since it is smaller than the sum of its proper divisors (380550347462778).

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

331131303033222 is a wasteful number, since it uses less digits than its factorization.

331131303033222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274568781.

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 331131303033222 its reverse (222330303131133), we get a palindrome (553461606164355).

The spelling of 331131303033222 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, three hundred three million, thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 19 38 57 71 114 142 149 213 298 426 447 894 1349 2698 2831 4047 5662 8094 8493 10579 16986 21158 31737 63474 201001 402002 603003 1206006 274568537 549137074 823705611 1647411222 5216802203 10433604406 15650406609 19494366127 31300813218 38988732254 40910712013 58483098381 81821424026 116966196762 122732136039 245464272078 370392956413 740785912826 777303528247 1111178869239 1554607056494 2222357738478 2331910584741 2904660552923 4663821169482 5809321105846 8713981658769 17427963317538 55188550505537 110377101011074 165565651516611 331131303033222