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121110201300 = 223521141538837
BaseRepresentation
bin111000011001010111…
…0110000001111010100
3102120121101012200101010
41300302232300033110
53441013202420200
6131345351532220
711515136503614
oct1606256601724
9376541180333
10121110201300
11473a9607860
121b57b68a070
13b5611ca40a
145c0c97ca44
15323c6a4150
hex1c32bb03d4

121110201300 has 144 divisors (see below), whose sum is σ = 382403149632. Its totient is φ = 29349657600.

The previous prime is 121110201281. The next prime is 121110201301. The reversal of 121110201300 is 3102011121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121110201301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13700482 + ... + 13709318.

It is an arithmetic number, because the mean of its divisors is an integer number (2655577428).

Almost surely, 2121110201300 is an apocalyptic number.

121110201300 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 121110201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191201574816).

121110201300 is an abundant number, since it is smaller than the sum of its proper divisors (261292948332).

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

121110201300 is a wasteful number, since it uses less digits than its factorization.

121110201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13018 (or 13011 counting only the distinct ones).

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

Adding to 121110201300 its reverse (3102011121), we get a palindrome (124212212421).

The spelling of 121110201300 in words is "one hundred twenty-one billion, one hundred ten million, two hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 4153 8306 8837 12459 16612 17674 20765 24918 26511 35348 41530 44185 45683 49836 53022 62295 83060 88370 91366 97207 103825 106044 124590 132555 137049 176740 182732 194414 207650 220925 228415 249180 265110 274098 291621 311475 388828 415300 441850 456830 486035 530220 548196 583242 622950 662775 685245 883700 913660 972070 1142075 1166484 1245900 1325550 1370490 1458105 1944140 2284150 2430175 2651100 2740980 2916210 3426225 4568300 4860350 5832420 6852450 7290525 9720700 13704900 14581050 29162100 36700061 73400122 110100183 146800244 183500305 220200366 367000610 403700671 440400732 550500915 734001220 807401342 917501525 1101001830 1211102013 1614802684 1835003050 2018503355 2202003660 2422204026 2752504575 3670006100 4037006710 4844408052 5505009150 6055510065 8074013420 10092516775 11010018300 12111020130 20185033550 24222040260 30277550325 40370067100 60555100650 121110201300