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13020401320 = 23517191007771
BaseRepresentation
bin11000010000001001…
…11000111010101000
31020121102011220210221
430020010320322220
5203131210320240
65552000215424
7640441404463
oct141004707250
936542156727
1013020401320
11558174a253
12263460a574
1312c66959a4
148b735a2da
15513131a4a
hex308138ea8

13020401320 has 64 divisors (see below), whose sum is σ = 32651812800. Its totient is φ = 4643804160.

The previous prime is 13020401309. The next prime is 13020401323. The reversal of 13020401320 is 2310402031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13020401294 and 13020401303.

It is not an unprimeable number, because it can be changed into a prime (13020401323) 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 15 ways as a sum of consecutive naturals, for example, 490966 + ... + 516805.

It is an arithmetic number, because the mean of its divisors is an integer number (510184575).

Almost surely, 213020401320 is an apocalyptic number.

13020401320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13020401320 is an abundant number, since it is smaller than the sum of its proper divisors (19631411480).

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

13020401320 is a wasteful number, since it uses less digits than its factorization.

13020401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007818 (or 1007814 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13020401320 its reverse (2310402031), we get a palindrome (15330803351).

The spelling of 13020401320 in words is "thirteen billion, twenty million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 2584 3230 6460 12920 1007771 2015542 4031084 5038855 8062168 10077710 17132107 19147649 20155420 34264214 38295298 40310840 68528428 76590596 85660535 95738245 137056856 153181192 171321070 191476490 325510033 342642140 382952980 651020066 685284280 765905960 1302040132 1627550165 2604080264 3255100330 6510200660 13020401320