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13223144112 = 2431031267199
BaseRepresentation
bin11000101000010100…
…10010101010110000
31021010112200022122020
430110022102222300
5204040111102422
610024041511440
7645452604363
oct142412225260
937115608566
1013223144112
115676135982
1226904a2580
1313296a0539
148d62540da
15525d2d95c
hex314292ab0

13223144112 has 40 divisors (see below), whose sum is σ = 34193049600. Its totient is φ = 4403423040.

The previous prime is 13223144093. The next prime is 13223144177. The reversal of 13223144112 is 21144132231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 84112 + ... + 183087.

It is an arithmetic number, because the mean of its divisors is an integer number (854826240).

Almost surely, 213223144112 is an apocalyptic number.

13223144112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13223144112 is an abundant number, since it is smaller than the sum of its proper divisors (20969905488).

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

13223144112 is a wasteful number, since it uses less digits than its factorization.

13223144112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268241 (or 268235 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 13223144112 its reverse (21144132231), we get a palindrome (34367276343).

The spelling of 13223144112 in words is "thirteen billion, two hundred twenty-three million, one hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 1031 2062 3093 4124 6186 8248 12372 16496 24744 49488 267199 534398 801597 1068796 1603194 2137592 3206388 4275184 6412776 12825552 275482169 550964338 826446507 1101928676 1652893014 2203857352 3305786028 4407714704 6611572056 13223144112