Search a number
-
+
121233111102 = 233191277391259
BaseRepresentation
bin111000011101000001…
…1100111100000111110
3102120220221111010221000
41300322003213200332
53441241134023402
6131405502151130
711521161304335
oct1607203474076
9376827433830
10121233111102
1147461a26804
121b5b48824a6
13b5808028cc
145c21014d1c
153248381c1c
hex1c3a0e783e

121233111102 has 128 divisors (see below), whose sum is σ = 286433280000. Its totient is φ = 37901164896.

The previous prime is 121233111071. The next prime is 121233111107. The reversal of 121233111102 is 201111332121.

121233111102 is digitally balanced in base 3, 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121233111107) 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 63 ways as a sum of consecutive naturals, for example, 96292549 + ... + 96293807.

It is an arithmetic number, because the mean of its divisors is an integer number (2237760000).

Almost surely, 2121233111102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121233111102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143216640000).

121233111102 is an abundant number, since it is smaller than the sum of its proper divisors (165200168898).

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

121233111102 is a wasteful number, since it uses less digits than its factorization.

121233111102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121233111102 its reverse (201111332121), we get a palindrome (322344443223).

The spelling of 121233111102 in words is "one hundred twenty-one billion, two hundred thirty-three million, one hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 127 171 254 342 381 513 739 762 1026 1143 1259 1478 2217 2286 2413 2518 3429 3777 4434 4826 6651 6858 7239 7554 11331 13302 14041 14478 19953 21717 22662 23921 28082 33993 39906 42123 43434 47842 65151 67986 71763 84246 93853 126369 130302 143526 159893 187706 215289 252738 281559 319786 379107 430578 479679 563118 645867 758214 844677 930401 959358 1291734 1439037 1689354 1783207 1860802 2534031 2791203 2878074 3037967 3566414 4317111 5068062 5349621 5582406 6075934 8373609 8634222 9113901 10699242 16048863 16747218 17677619 18227802 25120827 27341703 32097726 35355238 48146589 50241654 53032857 54683406 82025109 96293178 106065714 118160927 159098571 164050218 236321854 318197142 354482781 477295713 708965562 954591426 1063448343 2126896686 2245057613 3190345029 4490115226 6380690058 6735172839 13470345678 20205518517 40411037034 60616555551 121233111102