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13321162530 = 2335134780749
BaseRepresentation
bin11000110100000000…
…01100111100100010
31021101101010011122000
430122000030330202
5204240204200110
610041502424430
7651053004354
oct143200147442
937341104560
1013321162530
1157164a3635
1226b9292116
131343a9c0c0
1490528b0d4
1552e7411c0
hex31a00cf22

13321162530 has 128 divisors (see below), whose sum is σ = 39070080000. Its totient is φ = 3209248512.

The previous prime is 13321162529. The next prime is 13321162537. The reversal of 13321162530 is 3526112331.

13321162530 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 1 + 625 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13321162494 and 13321162503.

It is not an unprimeable number, because it can be changed into a prime (13321162537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124596 + ... + 205344.

It is an arithmetic number, because the mean of its divisors is an integer number (305235000).

Almost surely, 213321162530 is an apocalyptic number.

13321162530 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 13321162530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19535040000).

13321162530 is an abundant number, since it is smaller than the sum of its proper divisors (25748917470).

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

13321162530 is a wasteful number, since it uses less digits than its factorization.

13321162530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80825 (or 80819 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 13321162530 its reverse (3526112331), we get a palindrome (16847274861).

The spelling of 13321162530 in words is "thirteen billion, three hundred twenty-one million, one hundred sixty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 47 54 65 78 90 94 117 130 135 141 195 234 235 270 282 351 390 423 470 585 611 702 705 846 1170 1222 1269 1410 1755 1833 2115 2538 3055 3510 3666 4230 5499 6110 6345 9165 10998 12690 16497 18330 27495 32994 54990 80749 82485 161498 164970 242247 403745 484494 726741 807490 1049737 1211235 1453482 2099474 2180223 2422470 3149211 3633705 3795203 4360446 5248685 6298422 7267410 7590406 9447633 10497370 10901115 11385609 15746055 18895266 18976015 21802230 22771218 28342899 31492110 34156827 37952030 47238165 49337639 56685798 56928045 68313654 94476330 98675278 102470481 113856090 141714495 148012917 170784135 204940962 246688195 283428990 296025834 341568270 444038751 493376390 512352405 740064585 888077502 1024704810 1332116253 1480129170 2220193755 2664232506 4440387510 6660581265 13321162530