Search a number
-
+
13033331302310 = 2511319745138731
BaseRepresentation
bin1011110110101000111100…
…0101010001111110100110
31201010222022021020010022122
42331222033011101332212
53202014230303133220
643415232454025542
72513425046114024
oct275521705217646
951128267203278
1013033331302310
11417544a818530
121565b443482b2
137370652724c7
14330b60a77714
15179060998425
hexbda8f151fa6

13033331302310 has 128 divisors (see below), whose sum is σ = 26699620405248. Its totient is φ = 4537700352000.

The previous prime is 13033331302301. The next prime is 13033331302319. The reversal of 13033331302310 is 1320313333031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13033331302301) and next prime (13033331302319).

It is a super-2 number, since 2×130333313023102 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13033331302310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033331302319) 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, 1492760645 + ... + 1492769375.

It is an arithmetic number, because the mean of its divisors is an integer number (208590784416).

Almost surely, 213033331302310 is an apocalyptic number.

13033331302310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13033331302310 is an abundant number, since it is smaller than the sum of its proper divisors (13666289102938).

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

13033331302310 is a wasteful number, since it uses less digits than its factorization.

13033331302310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13390.

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 13033331302310 its reverse (1320313333031), we get a palindrome (14353644635341).

The spelling of 13033331302310 in words is "thirteen trillion, thirty-three billion, three hundred thirty-one million, three hundred two thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 31 55 62 97 110 155 194 310 341 485 682 970 1067 1705 2134 3007 3410 4513 5335 6014 8731 9026 10670 15035 17462 22565 30070 33077 43655 45130 49643 66154 87310 96041 99286 139903 165385 192082 248215 270661 279806 330770 437761 480205 496430 541322 699515 846907 875522 960410 1353305 1399030 1538933 1693814 2188805 2706610 2977271 3077866 4234535 4377610 4815371 5954542 7694665 8469070 9315977 9630742 13570591 14886355 15389330 18631954 24076855 26254117 27141182 29772710 39403003 46579885 48153710 52508234 67852955 78806006 93159770 131270585 135705910 149276501 197015015 262541170 288795287 298553002 394030030 433433033 577590574 746382505 866866066 1221493093 1443976435 1492765010 2167165165 2442986186 2887952870 3822091291 4334330330 6107465465 7644182582 12214930930 13436424023 19110456455 26872848046 38220912910 42043004201 67182120115 84086008402 118484830021 134364240230 210215021005 236969660042 420430042010 592424150105 1184848300210 1303333130231 2606666260462 6516665651155 13033331302310