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13102214321 = 722333114613
BaseRepresentation
bin11000011001111001…
…11110110010110001
31020211010010110011002
430030330332302301
5203313131324241
610004041531345
7642453661400
oct141474766261
936733113132
1013102214321
1156139495a9
122657aa3b55
13130a60c351
148c4175637
1551a3e289b
hex30cf3ecb1

13102214321 has 12 divisors (see below), whose sum is σ = 15248017332. Its totient is φ = 11225557728.

The previous prime is 13102214317. The next prime is 13102214369. The reversal of 13102214321 is 12341220131.

It can be written as a sum of positive squares in 2 ways, for example, as 4534675600 + 8567538721 = 67340^2 + 92561^2 .

It is not a de Polignac number, because 13102214321 - 22 = 13102214317 is a prime.

It is a super-2 number, since 2×131022143212 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13102214293 and 13102214302.

It is not an unprimeable number, because it can be changed into a prime (13102210321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57011 + ... + 171623.

It is an arithmetic number, because the mean of its divisors is an integer number (1270668111).

Almost surely, 213102214321 is an apocalyptic number.

It is an amenable number.

13102214321 is a deficient number, since it is larger than the sum of its proper divisors (2145803011).

13102214321 is a wasteful number, since it uses less digits than its factorization.

13102214321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116960 (or 116953 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13102214321 its reverse (12341220131), we get a palindrome (25443434452).

The spelling of 13102214321 in words is "thirteen billion, one hundred two million, two hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 7 49 2333 16331 114317 114613 802291 5616037 267392129 1871744903 13102214321