Search a number
-
+
121131121100 = 225211149373757
BaseRepresentation
bin111000011001111111…
…0100011100111001100
3102120122211120111221112
41300303332203213030
53441034031333400
6131351420151152
711515512353363
oct1606376434714
9376584514845
10121131121100
114740a3a6150
121b5866984b8
13b5656433b2
145c116667da
15323e437835
hex1c33fa39cc

121131121100 has 72 divisors (see below), whose sum is σ = 286946353008. Its totient is φ = 44017580800.

The previous prime is 121131121093. The next prime is 121131121141. The reversal of 121131121100 is 1121131121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1605422 + ... + 1679178.

It is an arithmetic number, because the mean of its divisors is an integer number (3985366014).

Almost surely, 2121131121100 is an apocalyptic number.

121131121100 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 121131121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143473176504).

121131121100 is an abundant number, since it is smaller than the sum of its proper divisors (165815231908).

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

121131121100 is a wasteful number, since it uses less digits than its factorization.

121131121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75275 (or 75268 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 121131121100 its reverse (1121131121), we get a palindrome (122252252221).

The spelling of 121131121100 in words is "one hundred twenty-one billion, one hundred thirty-one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1493 2986 5972 7465 14930 16423 29860 32846 37325 65692 73757 74650 82115 147514 149300 164230 295028 328460 368785 410575 737570 811327 821150 1475140 1622654 1642300 1843925 3245308 3687850 4056635 7375700 8113270 16226540 20283175 40566350 81132700 110119201 220238402 440476804 550596005 1101192010 1211311211 2202384020 2422622422 2752980025 4845244844 5505960050 6056556055 11011920100 12113112110 24226224220 30282780275 60565560550 121131121100