Search a number
-
+
1303003110112 = 251129425330013
BaseRepresentation
bin10010111101100001000…
…010011001101011100000
311121120021112020020211121
4102331201002121223200
5132322022244010422
62434331422422024
7163065426456424
oct22754102315340
94546245206747
101303003110112
11462667317280
12190645131914
1395b4632a482
14470cc360b84
1523d628d08c7
hex12f61099ae0

1303003110112 has 96 divisors (see below), whose sum is σ = 2895772330080. Its totient is φ = 571697387520.

The previous prime is 1303003110029. The next prime is 1303003110113. The reversal of 1303003110112 is 2110113003031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303003110113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43399618 + ... + 43429630.

It is an arithmetic number, because the mean of its divisors is an integer number (30164295105).

Almost surely, 21303003110112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303003110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447886165040).

1303003110112 is an abundant number, since it is smaller than the sum of its proper divisors (1592769219968).

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

1303003110112 is a wasteful number, since it uses less digits than its factorization.

1303003110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34316 (or 34308 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1303003110112 its reverse (2110113003031), we get a palindrome (3413116113143).

The spelling of 1303003110112 in words is "one trillion, three hundred three billion, three million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 2552 4253 5104 8506 10208 17012 30013 34024 46783 60026 68048 93566 120052 123337 136096 187132 240104 246674 330143 374264 480208 493348 660286 748528 870377 960416 986696 1320572 1356707 1497056 1740754 1973392 2641144 2713414 3481508 3946784 5282288 5426828 6963016 9574147 10564576 10853656 13926032 19148294 21707312 27852064 38296588 43414624 76593176 127645289 153186352 255290578 306372704 510581156 1021162312 1404098179 2042324624 2808196358 3701713381 4084649248 5616392716 7403426762 11232785432 14806853524 22465570864 29613707048 40718847191 44931141728 59227414096 81437694382 118454828192 162875388764 325750777528 651501555056 1303003110112