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13003321352 = 2371719517001
BaseRepresentation
bin11000001110000111…
…01111000000001000
31020120020001011111112
430013003233000020
5203112322240402
65550150145452
7640143256610
oct140703570010
936506034445
1013003321352
11557304387a
12262a952288
1312c2c956b8
148b4d91a40
155118aae52
hex3070ef008

13003321352 has 64 divisors (see below), whose sum is σ = 29522672640. Its totient is φ = 5241600000.

The previous prime is 13003321351. The next prime is 13003321363. The reversal of 13003321352 is 25312330031.

It is not an unprimeable number, because it can be changed into a prime (13003321351) 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, 1853852 + ... + 1860852.

It is an arithmetic number, because the mean of its divisors is an integer number (461291760).

Almost surely, 213003321352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13003321352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14761336320).

13003321352 is an abundant number, since it is smaller than the sum of its proper divisors (16519351288).

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

13003321352 is a wasteful number, since it uses less digits than its factorization.

13003321352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8982 (or 8978 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 13003321352 its reverse (25312330031), we get a palindrome (38315651383).

The spelling of 13003321352 in words is "thirteen billion, three million, three hundred twenty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 1951 3902 7001 7804 13657 14002 15608 27314 28004 33167 49007 54628 56008 66334 98014 109256 119017 132668 196028 232169 238034 265336 392056 464338 476068 833119 928676 952136 1666238 1857352 3332476 6664952 13658951 27317902 54635804 95612657 109271608 191225314 232202167 382450628 464404334 764901256 928808668 1625415169 1857617336 3250830338 6501660676 13003321352