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12200220230100 = 22352725123145931
BaseRepresentation
bin1011000110001001010111…
…0010110000000111010100
31121012022220022202122012020
42301202111302300013110
53044342022334330400
641540412004253140
72366302554621540
oct261422562600724
947168808678166
1012200220230100
1139840a2296151
1214505990a11b0
136a662552a116
143026cb02aa20
151625508982a0
hexb1895cb01d4

12200220230100 has 144 divisors (see below), whose sum is σ = 40502788655616. Its totient is φ = 2777511600000.

The previous prime is 12200220230059. The next prime is 12200220230101. The reversal of 12200220230100 is 103202200221.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12200220230100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200220230101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11045866 + ... + 12100065.

It is an arithmetic number, because the mean of its divisors is an integer number (281269365664).

Almost surely, 212200220230100 is an apocalyptic number.

12200220230100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200220230100 is an abundant number, since it is smaller than the sum of its proper divisors (28302568425516).

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

12200220230100 is a wasteful number, since it uses less digits than its factorization.

12200220230100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23146206 (or 23146199 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12200220230100 its reverse (103202200221), we get a palindrome (12303422430321).

The spelling of 12200220230100 in words is "twelve trillion, two hundred billion, two hundred twenty million, two hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 251 300 350 420 502 525 700 753 1004 1050 1255 1506 1757 2100 2510 3012 3514 3765 5020 5271 6275 7028 7530 8785 10542 12550 15060 17570 18825 21084 25100 26355 35140 37650 43925 52710 75300 87850 105420 131775 175700 263550 527100 23145931 46291862 69437793 92583724 115729655 138875586 162021517 231459310 277751172 324043034 347188965 462918620 486064551 578648275 648086068 694377930 810107585 972129102 1157296550 1388755860 1620215170 1735944825 1944258204 2314593100 2430322755 3240430340 3471889650 4050537925 4860645510 5809628681 6943779300 8101075850 9721291020 11619257362 12151613775 16202151700 17428886043 23238514724 24303227550 29048143405 34857772086 40667400767 48606455100 58096286810 69715544172 81334801534 87144430215 116192573620 122002202301 145240717025 162669603068 174288860430 203337003835 244004404602 290481434050 348577720860 406674007670 435722151075 488008809204 580962868100 610011011505 813348015340 871444302150 1016685019175 1220022023010 1742888604300 2033370038350 2440044046020 3050055057525 4066740076700 6100110115050 12200220230100