Search a number
-
+
31031231332122 = 2327737334602583
BaseRepresentation
bin1110000111001000001011…
…00001010011111100011010
311001212120000212101020110200
413003210011201103330122
513031403430210111442
6145555314553323030
76351634561156530
oct703440541237432
9131776025336420
1031031231332122
1199842a911702a
123592088706476
131441303c14768
14793cc35a6150
1538c2d82e334c
hex1c3905853f1a

31031231332122 has 96 divisors (see below), whose sum is σ = 77998113193728. Its totient is φ = 8732681342208.

The previous prime is 31031231332121. The next prime is 31031231332147. The reversal of 31031231332122 is 22123313213013.

31031231332122 is a `hidden beast` number, since 3 + 1 + 0 + 3 + 1 + 2 + 313 + 321 + 22 = 666.

It is a super-2 number, since 2×310312313321222 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31031231332121) 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, 4440843 + ... + 9043425.

It is an arithmetic number, because the mean of its divisors is an integer number (812480345768).

Almost surely, 231031231332122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31031231332122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38999056596864).

31031231332122 is an abundant number, since it is smaller than the sum of its proper divisors (46966881861606).

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

31031231332122 is a wasteful number, since it uses less digits than its factorization.

31031231332122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4603404 (or 4603401 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 31031231332122 its reverse (22123313213013), we get a palindrome (53154544545135).

The spelling of 31031231332122 in words is "thirty-one trillion, thirty-one billion, two hundred thirty-one million, three hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 438 511 657 733 1022 1314 1466 1533 2199 3066 4398 4599 5131 6597 9198 10262 13194 15393 30786 46179 53509 92358 107018 160527 321054 374563 481581 749126 963162 1123689 2247378 3371067 4602583 6742134 9205166 13807749 27615498 32218081 41423247 64436162 82846494 96654243 193308486 289962729 335988559 579925458 671977118 1007965677 2015931354 2351919913 3023897031 3373693339 4703839826 6047794062 6747386678 7055759739 10121080017 14111519478 20242160034 21167279217 23615853373 30363240051 42334558434 47231706746 60726480102 70847560119 141695120238 212542680357 246279613747 425085360714 492559227494 738838841241 1477677682482 1723957296229 2216516523723 3447914592458 4433033047446 5171871888687 10343743777374 15515615666061 31031231332122