Search a number
-
+
13322214031 = 722343926927
BaseRepresentation
bin11000110100001000…
…01101101010001111
31021101110002121000111
430122010031222033
5204240441322111
610041541140451
7651064644100
oct143204155217
937343077014
1013322214031
115717051645
1226b96ba727
1313440798a9
149054823a7
1552e89ca21
hex31a10da8f

13322214031 has 24 divisors (see below), whose sum is σ = 16208501760. Its totient is φ = 10897275312.

The previous prime is 13322214013. The next prime is 13322214041. The reversal of 13322214031 is 13041222331.

It is not a de Polignac number, because 13322214031 - 27 = 13322213903 is a prime.

It is a super-3 number, since 3×133222140313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13322213993 and 13322214011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322214041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481290 + ... + 508216.

It is an arithmetic number, because the mean of its divisors is an integer number (675354240).

Almost surely, 213322214031 is an apocalyptic number.

13322214031 is a deficient number, since it is larger than the sum of its proper divisors (2886287729).

13322214031 is a wasteful number, since it uses less digits than its factorization.

13322214031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27403 (or 27396 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13322214031 its reverse (13041222331), we get a palindrome (26363436362).

The spelling of 13322214031 in words is "thirteen billion, three hundred twenty-two million, two hundred fourteen thousand, thirty-one".

Divisors: 1 7 23 49 161 439 1127 3073 10097 21511 26927 70679 188489 494753 619321 1319423 4335247 11820953 30346729 82746671 271881919 579226697 1903173433 13322214031