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13322302331 = 131771978753
BaseRepresentation
bin11000110100001001…
…00011001101111011
31021101110021002010212
430122010203031323
5204241002133311
610041543101335
7651065462402
oct143204431573
937343232125
1013322302331
115717101a18
1226b974184b
1313440aab40
149054a6639
1552e8b8c8b
hex31a12337b

13322302331 has 32 divisors (see below), whose sum is σ = 15565592448. Its totient is φ = 11292180480.

The previous prime is 13322302319. The next prime is 13322302363. The reversal of 13322302331 is 13320322331.

13322302331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13322302331 is a prime.

It is a super-2 number, since 2×133223023312 (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 = 13322302297 and 13322302306.

It is not an unprimeable number, because it can be changed into a prime (13322302031) 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 31 ways as a sum of consecutive naturals, for example, 1517651 + ... + 1526403.

It is an arithmetic number, because the mean of its divisors is an integer number (486424764).

Almost surely, 213322302331 is an apocalyptic number.

13322302331 is a deficient number, since it is larger than the sum of its proper divisors (2243290117).

13322302331 is a wasteful number, since it uses less digits than its factorization.

13322302331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8951.

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 13322302331 its reverse (13320322331), we get a palindrome (26642624662).

The spelling of 13322302331 in words is "thirteen billion, three hundred twenty-two million, three hundred two thousand, three hundred thirty-one".

Divisors: 1 13 17 71 97 221 923 1207 1261 1649 6887 8753 15691 21437 89531 113789 117079 148801 621463 849041 1522027 1934413 8079019 10564871 11037533 14433697 60281911 137343323 187638061 783664843 1024792487 13322302331