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13340214321 = 373741537901
BaseRepresentation
bin11000110110010001…
…11000010000110001
31021102200222002202220
430123020320100301
5204310043324241
610043423031253
7651403644060
oct143310702061
937380862686
1013340214321
115726226515
12270373b529
131347a0ca55
14907a0a1d7
15531256166
hex31b238431

13340214321 has 64 divisors (see below), whose sum is σ = 21792830976. Its totient is φ = 7098624000.

The previous prime is 13340214311. The next prime is 13340214413. The reversal of 13340214321 is 12341204331.

It is a happy number.

It is not a de Polignac number, because 13340214321 - 213 = 13340206129 is a prime.

It is a super-2 number, since 2×133402143212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13340214291 and 13340214300.

It is not an unprimeable number, because it can be changed into a prime (13340214311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1684471 + ... + 1692371.

It is an arithmetic number, because the mean of its divisors is an integer number (340512984).

Almost surely, 213340214321 is an apocalyptic number.

It is an amenable number.

13340214321 is a deficient number, since it is larger than the sum of its proper divisors (8452616655).

13340214321 is a wasteful number, since it uses less digits than its factorization.

13340214321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8042.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13340214321 its reverse (12341204331), we get a palindrome (25681418652).

The spelling of 13340214321 in words is "thirteen billion, three hundred forty million, two hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 7 21 37 41 53 111 123 159 259 287 371 777 861 1113 1517 1961 2173 4551 5883 6519 7901 10619 13727 15211 23703 31857 41181 45633 55307 80401 165921 241203 292337 323941 418753 562807 877011 971823 1256259 1688421 2046359 2267587 2931271 6139077 6802761 8793813 11985817 15493861 17168873 35957451 46481583 51506619 83900719 108457027 120182111 251702157 325371081 360546333 635248301 1905744903 4446738107 13340214321