Search a number
-
+
13322111010 = 2351336793077
BaseRepresentation
bin11000110100000111…
…10100100000100010
31021101102220100200220
430122003310200202
5204240430023020
610041535023510
7651064034535
oct143203644042
937342810626
1013322111010
115716a911aa
1226b966ab96
131344041a30
14905456a1c
1552e87c240
hex31a0f4822

13322111010 has 64 divisors (see below), whose sum is σ = 34526725632. Its totient is φ = 3270318336.

The previous prime is 13322110999. The next prime is 13322111053. The reversal of 13322111010 is 1011122331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 96592 + ... + 189668.

It is an arithmetic number, because the mean of its divisors is an integer number (539480088).

Almost surely, 213322111010 is an apocalyptic number.

13322111010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13322111010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17263362816).

13322111010 is an abundant number, since it is smaller than the sum of its proper divisors (21204614622).

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

13322111010 is a wasteful number, since it uses less digits than its factorization.

13322111010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93467.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13322111010 its reverse (1011122331), we get a palindrome (14333233341).

The spelling of 13322111010 in words is "thirteen billion, three hundred twenty-two million, one hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 367 390 734 1101 1835 2202 3670 4771 5505 9542 11010 14313 23855 28626 47710 71565 93077 143130 186154 279231 465385 558462 930770 1210001 1396155 2420002 2792310 3630003 6050005 7260006 12100010 18150015 34159259 36300030 68318518 102477777 170796295 204955554 341592590 444070367 512388885 888140734 1024777770 1332211101 2220351835 2664422202 4440703670 6661055505 13322111010