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13027015350 = 2345210131847
BaseRepresentation
bin11000010000111100…
…00111101010110110
31020121212121221120000
430020132013222312
5203134403442400
65552354052130
7640551542406
oct141036075266
936555557500
1013027015350
115585457498
12263687a046
1312c7b7030b
148b819c806
155139db600
hex308787ab6

13027015350 has 120 divisors (see below), whose sum is σ = 36555325488. Its totient is φ = 3439368000.

The previous prime is 13027015343. The next prime is 13027015361. The reversal of 13027015350 is 5351072031.

13027015350 is a `hidden beast` number, since 1 + 30 + 270 + 15 + 350 = 666.

13027015350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 393127 + ... + 424973.

Almost surely, 213027015350 is an apocalyptic number.

13027015350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13027015350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18277662744).

13027015350 is an abundant number, since it is smaller than the sum of its proper divisors (23528310138).

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

13027015350 is a wasteful number, since it uses less digits than its factorization.

13027015350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31972 (or 31958 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

Adding to 13027015350 its reverse (5351072031), we get a palindrome (18378087381).

The spelling of 13027015350 in words is "thirteen billion, twenty-seven million, fifteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 101 135 150 162 202 225 270 303 405 450 505 606 675 810 909 1010 1350 1515 1818 2025 2525 2727 3030 4050 4545 5050 5454 7575 8181 9090 13635 15150 16362 22725 27270 31847 40905 45450 63694 68175 81810 95541 136350 159235 191082 204525 286623 318470 409050 477705 573246 796175 859869 955410 1433115 1592350 1719738 2388525 2579607 2866230 3216547 4299345 4777050 5159214 6433094 7165575 8598690 9649641 12898035 14331150 16082735 19299282 21496725 25796070 28948923 32165470 42993450 48248205 57897846 64490175 80413675 86846769 96496410 128980350 144744615 160827350 173693538 241241025 260540307 289489230 434233845 482482050 521080614 723723075 868467690 1302701535 1447446150 2171169225 2605403070 4342338450 6513507675 13027015350