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13222320100 = 22521117896719
BaseRepresentation
bin11000101000001110…
…01001011111100100
31021010111010110022021
430110013021133210
5204034403220400
610024012112524
7645442603123
oct142407113744
937114113267
1013222320100
115675722880
122690165744
131329472462
148d60bbaba
15525c1971a
hex3141c97e4

13222320100 has 72 divisors (see below), whose sum is σ = 31322995200. Its totient is φ = 4804713600.

The previous prime is 13222320053. The next prime is 13222320103. The reversal of 13222320100 is 102322231.

It is not an unprimeable number, because it can be changed into a prime (13222320103) 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, 1964541 + ... + 1971259.

It is an arithmetic number, because the mean of its divisors is an integer number (435041600).

Almost surely, 213222320100 is an apocalyptic number.

13222320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13222320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15661497600).

13222320100 is an abundant number, since it is smaller than the sum of its proper divisors (18100675100).

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

13222320100 is a wasteful number, since it uses less digits than its factorization.

13222320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8533 (or 8526 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13222320100 its reverse (102322231), we get a palindrome (13324642331).

The spelling of 13222320100 in words is "thirteen billion, two hundred twenty-two million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1789 3578 6719 7156 8945 13438 17890 19679 26876 33595 35780 39358 44725 67190 73909 78716 89450 98395 134380 147818 167975 178900 196790 295636 335950 369545 393580 491975 671900 739090 983950 1478180 1847725 1967900 3695450 7390900 12020291 24040582 48081164 60101455 120202910 132223201 240405820 264446402 300507275 528892804 601014550 661116005 1202029100 1322232010 2644464020 3305580025 6611160050 13222320100