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1310412001120 = 25541400149927
BaseRepresentation
bin10011000100011010101…
…001000100111101100000
311122021101212100220122021
4103010122221010331200
5132432210433013440
62441554524551224
7163450142140645
oct23043251047540
94567355326567
101310412001120
114658194597a2
12191b723b2514
1396757268851
14475d2317dcc
152414806784a
hex1311aa44f60

1310412001120 has 96 divisors (see below), whose sum is σ = 3172213025856. Its totient is φ = 511242240000.

The previous prime is 1310412001039. The next prime is 1310412001219. The reversal of 1310412001120 is 211002140131.

It is a super-2 number, since 2×13104120011202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1310412001094 and 1310412001103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26221597 + ... + 26271523.

It is an arithmetic number, because the mean of its divisors is an integer number (33043885686).

Almost surely, 21310412001120 is an apocalyptic number.

1310412001120 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 1310412001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586106512928).

1310412001120 is an abundant number, since it is smaller than the sum of its proper divisors (1861801024736).

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

1310412001120 is a wasteful number, since it uses less digits than its factorization.

1310412001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53984 (or 53976 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1310412001120 its reverse (211002140131), we get a palindrome (1521414141251).

The spelling of 1310412001120 in words is "one trillion, three hundred ten billion, four hundred twelve million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 4001 6560 8002 16004 20005 32008 40010 49927 64016 80020 99854 128032 160040 164041 199708 249635 320080 328082 399416 499270 640160 656164 798832 820205 998540 1312328 1597664 1640410 1997080 2047007 2624656 3280820 3994160 4094014 5249312 6561640 7988320 8188028 10235035 13123280 16376056 20470070 26246560 32752112 40940140 65504224 81880280 163760560 199757927 327521120 399515854 799031708 998789635 1598063416 1997579270 3196126832 3995158540 6392253664 7990317080 8190075007 15980634160 16380150014 31961268320 32760300028 40950375035 65520600056 81900750070 131041200112 163801500140 262082400224 327603000280 655206000560 1310412001120