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12213203322100 = 225211109101861579
BaseRepresentation
bin1011000110111001101110…
…1001010100010011110100
31121020120102010202001020111
42301232123221110103310
53100100120022301400
641550400153112404
72400242364235654
oct261563351242364
947216363661214
1012213203322100
113989654972350
1214530010b8704
136a791425bb91
1430319d434364
15162a605aa3ba
hexb1b9ba544f4

12213203322100 has 72 divisors (see below), whose sum is σ = 29177230975200. Its totient is φ = 4400420169600.

The previous prime is 12213203322079. The next prime is 12213203322107. The reversal of 12213203322100 is 122330231221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213203322107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50810890 + ... + 51050689.

It is an arithmetic number, because the mean of its divisors is an integer number (405239319100).

Almost surely, 212213203322100 is an apocalyptic number.

12213203322100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12213203322100 is an abundant number, since it is smaller than the sum of its proper divisors (16964027653100).

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

12213203322100 is a wasteful number, since it uses less digits than its factorization.

12213203322100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101861713 (or 101861706 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12213203322100 its reverse (122330231221), we get a palindrome (12335533553321).

The spelling of 12213203322100 in words is "twelve trillion, two hundred thirteen billion, two hundred three million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 109 110 218 220 275 436 545 550 1090 1100 1199 2180 2398 2725 4796 5450 5995 10900 11990 23980 29975 59950 119900 101861579 203723158 407446316 509307895 1018615790 1120477369 2037231580 2240954738 2546539475 4481909476 5093078950 5602386845 10186157900 11102912111 11204773690 22205824222 22409547380 28011934225 44411648444 55514560555 56023868450 111029121110 112047736900 122132033221 222058242220 244264066442 277572802775 488528132884 555145605550 610660166105 1110291211100 1221320332210 2442640664420 3053300830525 6106601661050 12213203322100