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12540003320 = 2351337963629
BaseRepresentation
bin10111010110111000…
…10100001111111000
31012100221020011122102
423223130110033320
5201140220101240
65432155442532
7622516161305
oct135334241770
935327204572
1012540003320
115355561109
12251b756448
13124acb4b10
1486d6280ac
154d5d8b815
hex2eb7143f8

12540003320 has 64 divisors (see below), whose sum is σ = 30466044000. Its totient is φ = 4617865728.

The previous prime is 12540003319. The next prime is 12540003341. The reversal of 12540003320 is 2330004521.

It is a happy number.

It is a super-2 number, since 2×125400033202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12540003292 and 12540003301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165266 + ... + 228894.

Almost surely, 212540003320 is an apocalyptic number.

12540003320 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 12540003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233022000).

12540003320 is an abundant number, since it is smaller than the sum of its proper divisors (17926040680).

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

12540003320 is a wasteful number, since it uses less digits than its factorization.

12540003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64032 (or 64028 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 12540003320 its reverse (2330004521), we get a palindrome (14870007841).

The spelling of 12540003320 in words is "twelve billion, five hundred forty million, three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 379 520 758 1516 1895 3032 3790 4927 7580 9854 15160 19708 24635 39416 49270 63629 98540 127258 197080 254516 318145 509032 636290 827177 1272580 1654354 2545160 3308708 4135885 6617416 8271770 16543540 24115391 33087080 48230782 96461564 120576955 192923128 241153910 313500083 482307820 627000166 964615640 1254000332 1567500415 2508000664 3135000830 6270001660 12540003320