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13321151340 = 22357271117037
BaseRepresentation
bin11000110100000000…
…01010001101101100
31021101101002121021120
430122000022031230
5204240203320330
610041502300540
7651052626630
oct143200121554
937341077246
1013321151340
115716496192
1226b9287750
131343a96c93
14905286dc0
1552e73cc10
hex31a00a36c

13321151340 has 96 divisors (see below), whose sum is σ = 42785347584. Its totient is φ = 3033573120.

The previous prime is 13321151299. The next prime is 13321151359. The reversal of 13321151340 is 4315112331.

It is a self number, because there is not a number n which added to its sum of digits gives 13321151340.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 55302 + ... + 172338.

It is an arithmetic number, because the mean of its divisors is an integer number (445680704).

Almost surely, 213321151340 is an apocalyptic number.

13321151340 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 13321151340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21392673792).

13321151340 is an abundant number, since it is smaller than the sum of its proper divisors (29464196244).

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

13321151340 is a wasteful number, since it uses less digits than its factorization.

13321151340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117327 (or 117325 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 13321151340 its reverse (4315112331), we get a palindrome (17636263671).

The spelling of 13321151340 in words is "thirteen billion, three hundred twenty-one million, one hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 271 420 542 813 1084 1355 1626 1897 2710 3252 3794 4065 5420 5691 7588 8130 9485 11382 16260 18970 22764 28455 37940 56910 113820 117037 234074 351111 468148 585185 702222 819259 1170370 1404444 1638518 1755555 2340740 2457777 3277036 3511110 4096295 4915554 7022220 8192590 9831108 12288885 16385180 24577770 31717027 49155540 63434054 95151081 126868108 158585135 190302162 222019189 317170270 380604324 444038378 475755405 634340540 666057567 888076756 951510810 1110095945 1332115134 1903021620 2220191890 2664230268 3330287835 4440383780 6660575670 13321151340