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1303110121120 = 25597379221539
BaseRepresentation
bin10010111101100111011…
…010100111011010100000
311121120112222120222100021
4102331213122213122200
5132322232142333440
62434350204203224
7163101166162033
oct22754732473240
94546488528307
101303110121120
11462711767225
12190674b39514
1395b625571b2
14470dc65901a
1523d6bebc84a
hex12f676a76a0

1303110121120 has 96 divisors (see below), whose sum is σ = 3118556548800. Its totient is φ = 514506940416.

The previous prime is 1303110121081. The next prime is 1303110121213. The reversal of 1303110121120 is 211210113031.

It is a happy number.

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 = 1303110121094 and 1303110121103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5771311 + ... + 5992849.

It is an arithmetic number, because the mean of its divisors is an integer number (32484964050).

Almost surely, 21303110121120 is an apocalyptic number.

1303110121120 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 1303110121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559278274400).

1303110121120 is an abundant number, since it is smaller than the sum of its proper divisors (1815446427680).

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

1303110121120 is a wasteful number, since it uses less digits than its factorization.

1303110121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222030 (or 222022 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1303110121120 its reverse (211210113031), we get a palindrome (1514320234151).

The spelling of 1303110121120 in words is "one trillion, three hundred three billion, one hundred ten million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 379 388 485 758 776 970 1516 1552 1895 1940 3032 3104 3790 3880 6064 7580 7760 12128 15160 15520 30320 36763 60640 73526 147052 183815 221539 294104 367630 443078 588208 735260 886156 1107695 1176416 1470520 1772312 2215390 2941040 3544624 4430780 5882080 7089248 8861560 17723120 21489283 35446240 42978566 83963281 85957132 107446415 167926562 171914264 214892830 335853124 343828528 419816405 429785660 671706248 687657056 839632810 859571320 1343412496 1679265620 1719142640 2686824992 3358531240 3438285280 6717062480 8144438257 13434124960 16288876514 32577753028 40722191285 65155506056 81444382570 130311012112 162888765140 260622024224 325777530280 651555060560 1303110121120