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12010430320 = 245725185447
BaseRepresentation
bin10110010111110000…
…01001111101110000
31011000000202002001121
423023320021331300
5144044132232240
65303441112024
7603425654560
oct131370117560
934000662047
1012010430320
115103636079
1223b2328614
131195377205
1481d174da0
154a463104a
hex2cbe09f70

12010430320 has 80 divisors (see below), whose sum is σ = 32040949248. Its totient is φ = 4101408000.

The previous prime is 12010430303. The next prime is 12010430321. The reversal of 12010430320 is 2303401021.

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 = 12010430294 and 12010430303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010430321) 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, 97837 + ... + 183283.

Almost surely, 212010430320 is an apocalyptic number.

12010430320 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 12010430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16020474624).

12010430320 is an abundant number, since it is smaller than the sum of its proper divisors (20030518928).

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

12010430320 is a wasteful number, since it uses less digits than its factorization.

12010430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85718 (or 85712 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 12010430320 its reverse (2303401021), we get a palindrome (14313831341).

The spelling of 12010430320 in words is "twelve billion, ten million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 251 280 502 560 1004 1255 1757 2008 2510 3514 4016 5020 7028 8785 10040 14056 17570 20080 28112 35140 70280 85447 140560 170894 341788 427235 598129 683576 854470 1196258 1367152 1708940 2392516 2990645 3417880 4785032 5981290 6835760 9570064 11962580 21447197 23925160 42894394 47850320 85788788 107235985 150130379 171577576 214471970 300260758 343155152 428943940 600521516 750651895 857887880 1201043032 1501303790 1715775760 2402086064 3002607580 6005215160 12010430320