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13022000100 = 2233524822963
BaseRepresentation
bin11000010000010101…
…11111001111100100
31020121112012010221000
430020022333033210
5203132113000400
65552054353300
7640461113604
oct141012771744
936545163830
1013022000100
11558264145a
12263505b830
1312c6b05605
148b7654c04
1551334a600
hex3082bf3e4

13022000100 has 72 divisors (see below), whose sum is σ = 41863327520. Its totient is φ = 3472532640.

The previous prime is 13022000087. The next prime is 13022000129. The reversal of 13022000100 is 100022031.

It is a happy number.

13022000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2408782 + ... + 2414181.

Almost surely, 213022000100 is an apocalyptic number.

13022000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13022000100 is an abundant number, since it is smaller than the sum of its proper divisors (28841327420).

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

13022000100 is a wasteful number, since it uses less digits than its factorization.

13022000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822986 (or 4822973 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 13022000100 its reverse (100022031), we get a palindrome (13122022131).

The spelling of 13022000100 in words is "thirteen billion, twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4822963 9645926 14468889 19291852 24114815 28937778 43406667 48229630 57875556 72344445 86813334 96459260 120574075 130220001 144688890 173626668 217033335 241148150 260440002 289377780 361722225 434066670 482296300 520880004 651100005 723444450 868133340 1085166675 1302200010 1446888900 2170333350 2604400020 3255500025 4340666700 6511000050 13022000100