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10012303111120 = 2451513613229403
BaseRepresentation
bin1001000110110010101111…
…0001010011001111010000
31022110011111121201001110121
42101230223301103033100
52303020144044023440
633143331043240024
72052236130146032
oct221545361231720
938404447631417
1010012303111120
1132102150a4552
121158550079014
13578205039c2b
142688530cdc52
1512569a0d934a
hex91b2bc533d0

10012303111120 has 80 divisors (see below), whose sum is σ = 23439355535232. Its totient is φ = 3977280115200.

The previous prime is 10012303111099. The next prime is 10012303111121. The reversal of 10012303111120 is 2111130321001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 10012303111094 and 10012303111103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012303111121) 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, 43530339 + ... + 43759741.

Almost surely, 210012303111120 is an apocalyptic number.

10012303111120 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 10012303111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11719677767616).

10012303111120 is an abundant number, since it is smaller than the sum of its proper divisors (13427052424112).

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

10012303111120 is a wasteful number, since it uses less digits than its factorization.

10012303111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233180 (or 233174 counting only the distinct ones).

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

Adding to 10012303111120 its reverse (2111130321001), we get a palindrome (12123433432121).

The spelling of 10012303111120 in words is "ten trillion, twelve billion, three hundred three million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 302 604 755 1208 1510 2416 3020 3613 6040 7226 12080 14452 18065 28904 36130 57808 72260 144520 229403 289040 458806 545563 917612 1091126 1147015 1835224 2182252 2294030 2727815 3670448 4364504 4588060 5455630 8729008 9176120 10911260 18352240 21822520 34639853 43645040 69279706 138559412 173199265 277118824 346398530 554237648 692797060 828833039 1385594120 1657666078 2771188240 3315332156 4144165195 6630664312 8288330390 13261328624 16576660780 33153321560 66306643120 125153788889 250307577778 500615155556 625768944445 1001230311112 1251537888890 2002460622224 2503075777780 5006151555560 10012303111120