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13200222100 = 22521323441479
BaseRepresentation
bin11000100101100101…
…10110011110010100
31021001221112202112211
430102302312132110
5204013224101400
610021502323204
7645054015352
oct142262663624
937057482484
1013200222100
1156641aa26a
122684889504
131324a06110
148d31a87d2
15523d01dba
hex312cb6794

13200222100 has 72 divisors (see below), whose sum is σ = 32189189760. Its totient is φ = 4662007680.

The previous prime is 13200222097. The next prime is 13200222151. The reversal of 13200222100 is 122200231.

13200222100 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 (13).

It is a congruent number.

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, 190840 + ... + 250639.

It is an arithmetic number, because the mean of its divisors is an integer number (447072080).

Almost surely, 213200222100 is an apocalyptic number.

13200222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200222100 is an abundant number, since it is smaller than the sum of its proper divisors (18988967660).

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

13200222100 is a wasteful number, since it uses less digits than its factorization.

13200222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441529 (or 441522 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 13200222100 its reverse (122200231), we get a palindrome (13322422331).

The spelling of 13200222100 in words is "thirteen billion, two hundred million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 598 650 1150 1196 1300 1495 2300 2990 5980 7475 14950 29900 441479 882958 1765916 2207395 4414790 5739227 8829580 10154017 11036975 11478454 20308034 22073950 22956908 28696135 40616068 44147900 50770085 57392270 101540170 114784540 132002221 143480675 203080340 253850425 264004442 286961350 507700850 528008884 573922700 660011105 1015401700 1320022210 2640044420 3300055525 6600111050 13200222100