Search a number
-
+
13203331131000 = 233537187612371
BaseRepresentation
bin1100000000100010001111…
…0111001010011001111000
31201202020002211220012110010
43000020203313022121320
53212310410232143000
644025305424221520
72531623565606523
oct300104367123170
951666084805403
1013203331131000
114230557238a1a
121592a88a6a8a0
1374a0b816960a
1433908a6a7bba
1517d6b02acd50
hexc0223dca678

13203331131000 has 128 divisors (see below), whose sum is σ = 41200192200960. Its totient is φ = 3520392656000.

The previous prime is 13203331130999. The next prime is 13203331131019. The reversal of 13203331131000 is 13113330231.

It is a super-2 number, since 2×132033311310002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 21254815 + ... + 21867185.

It is an arithmetic number, because the mean of its divisors is an integer number (321876501570).

Almost surely, 213203331131000 is an apocalyptic number.

13203331131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13203331131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20600096100480).

13203331131000 is an abundant number, since it is smaller than the sum of its proper divisors (27996861069960).

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

13203331131000 is a wasteful number, since it uses less digits than its factorization.

13203331131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619582 (or 619568 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 13203331131000 its reverse (13113330231), we get a palindrome (13216444461231).

The spelling of 13203331131000 in words is "thirteen trillion, two hundred three billion, three hundred thirty-one million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 7187 14374 21561 28748 35935 43122 57496 71870 86244 107805 143740 172488 179675 215610 287480 359350 431220 539025 612371 718700 862440 898375 1078050 1224742 1437400 1796750 1837113 2156100 2449484 2695125 3061855 3593500 3674226 4312200 4898968 5390250 6123710 7187000 7348452 9185565 10780500 12247420 14696904 15309275 18371130 21561000 24494840 30618550 36742260 45927825 61237100 73484520 76546375 91855650 122474200 153092750 183711300 229639125 306185500 367422600 459278250 612371000 918556500 1837113000 4401110377 8802220754 13203331131 17604441508 22005551885 26406662262 35208883016 44011103770 52813324524 66016655655 88022207540 105626649048 110027759425 132033311310 176044415080 220055518850 264066622620 330083278275 440111037700 528133245240 550138797125 660166556550 880222075400 1100277594250 1320333113100 1650416391375 2200555188500 2640666226200 3300832782750 4401110377000 6601665565500 13203331131000