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12131030320 = 245198219721
BaseRepresentation
bin10110100110001000…
…01101010100110000
31011022102200012011021
423103010031110300
5144321020432240
65323430025224
7606422025223
oct132304152460
934272605137
1012131030320
1151657176a2
1224267a8214
1311b4351266
148311a95ba
154b000454a
hex2d310d530

12131030320 has 80 divisors (see below), whose sum is σ = 29728320480. Its totient is φ = 4590950400.

The previous prime is 12131030243. The next prime is 12131030333. The reversal of 12131030320 is 2303013121.

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 = 12131030294 and 12131030303.

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, 1243060 + ... + 1252780.

It is an arithmetic number, because the mean of its divisors is an integer number (371604006).

Almost surely, 212131030320 is an apocalyptic number.

12131030320 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 12131030320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14864160240).

12131030320 is an abundant number, since it is smaller than the sum of its proper divisors (17597290160).

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

12131030320 is a wasteful number, since it uses less digits than its factorization.

12131030320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10574 (or 10568 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 12131030320 its reverse (2303013121), we get a palindrome (14434043441).

The spelling of 12131030320 in words is "twelve billion, one hundred thirty-one million, thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 821 1520 1642 3284 4105 6568 8210 9721 13136 15599 16420 19442 31198 32840 38884 48605 62396 65680 77768 77995 97210 124792 155536 155990 184699 194420 249584 311980 369398 388840 623960 738796 777680 923495 1247920 1477592 1846990 2955184 3693980 7387960 7980941 14775920 15961882 31923764 39904705 63847528 79809410 127695056 151637879 159618820 303275758 319237640 606551516 638475280 758189395 1213103032 1516378790 2426206064 3032757580 6065515160 12131030320