Search a number
-
+
121111214130 = 23251817434697
BaseRepresentation
bin111000011001011001…
…0100111100000110010
3102120121110010010201100
41300302302213200302
53441013432323010
6131345425345230
711515151222514
oct1606262474062
9376543103640
10121111214130
11473aa139805
121b57ba98216
13b56149341a
145c0cb63bb4
15323c8042c0
hex1c32ca7832

121111214130 has 48 divisors (see below), whose sum is σ = 316628918424. Its totient is φ = 32117886720.

The previous prime is 121111214101. The next prime is 121111214131. The reversal of 121111214130 is 31412111121.

121111214130 is a `hidden beast` number, since 121 + 11 + 121 + 413 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34899096969 + 86212117161 = 186813^2 + 293619^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121111214131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3701059 + ... + 3733638.

Almost surely, 2121111214130 is an apocalyptic number.

121111214130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121111214130 is an abundant number, since it is smaller than the sum of its proper divisors (195517704294).

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

121111214130 is a wasteful number, since it uses less digits than its factorization.

121111214130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7434891 (or 7434888 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 121111214130 its reverse (31412111121), we get a palindrome (152523325251).

It can be divided in two parts, 121111 and 214130, that added together give a square (335241 = 5792).

The spelling of 121111214130 in words is "one hundred twenty-one billion, one hundred eleven million, two hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1629 1810 2715 3258 5430 8145 16290 7434697 14869394 22304091 37173485 44608182 66912273 74346970 111520455 133824546 223040910 334561365 669122730 1345680157 2691360314 4037040471 6728400785 8074080942 12111121413 13456801570 20185202355 24222242826 40370404710 60555607065 121111214130