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13321001120 = 255759201589
BaseRepresentation
bin11000110011111111…
…00101100010100000
31021101100210222012212
430121333211202200
5204240134013440
610041455141252
7651051432650
oct143177454240
937340728185
1013321001120
1157163a3339
1226b9214828
131343a437ab
14905248360
1552e70d465
hex319fe58a0

13321001120 has 96 divisors (see below), whose sum is σ = 36576489600. Its totient is φ = 4489767936.

The previous prime is 13321001101. The next prime is 13321001129. The reversal of 13321001120 is 2110012331.

13321001120 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 (14).

It is a junction number, because it is equal to n+sod(n) for n = 13321001095 and 13321001104.

It is not an unprimeable number, because it can be changed into a prime (13321001129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34715 + ... + 166874.

It is an arithmetic number, because the mean of its divisors is an integer number (381005100).

Almost surely, 213321001120 is an apocalyptic number.

13321001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13321001120 is an abundant number, since it is smaller than the sum of its proper divisors (23255488480).

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

13321001120 is a wasteful number, since it uses less digits than its factorization.

13321001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201670 (or 201662 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13321001120 its reverse (2110012331), we get a palindrome (15431013451).

The spelling of 13321001120 in words is "thirteen billion, three hundred twenty-one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 59 70 80 112 118 140 160 224 236 280 295 413 472 560 590 826 944 1120 1180 1652 1888 2065 2360 3304 4130 4720 6608 8260 9440 13216 16520 33040 66080 201589 403178 806356 1007945 1411123 1612712 2015890 2822246 3225424 4031780 5644492 6450848 7055615 8063560 11288984 11893751 14111230 16127120 22577968 23787502 28222460 32254240 45155936 47575004 56444920 59468755 83256257 95150008 112889840 118937510 166512514 190300016 225779680 237875020 333025028 380600032 416281285 475750040 666050056 832562570 951500080 1332100112 1665125140 1903000160 2664200224 3330250280 6660500560 13321001120