Search a number
-
+
121110213330 = 23252309582793
BaseRepresentation
bin111000011001010111…
…0110011001011010010
3102120121101020021212200
41300302232303023102
53441013203311310
6131345352104030
711515136553651
oct1606256631322
9376541207780
10121110213330
11473a96158a7
121b57b695016
13b561202a32
145c0c983198
15323c6a79c0
hex1c32bb32d2

121110213330 has 48 divisors (see below), whose sum is σ = 315023468760. Its totient is φ = 32282014464.

The previous prime is 121110213311. The next prime is 121110213377. The reversal of 121110213330 is 33312011121.

121110213330 is a `hidden beast` number, since 12 + 1 + 110 + 213 + 330 = 666.

121110213330 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 112197531681 + 8912681649 = 334959^2 + 94407^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 83587 + ... + 499206.

Almost surely, 2121110213330 is an apocalyptic number.

121110213330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121110213330 is an abundant number, since it is smaller than the sum of its proper divisors (193913255430).

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

121110213330 is a wasteful number, since it uses less digits than its factorization.

121110213330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585115 (or 585112 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 121110213330 its reverse (33312011121), we get a palindrome (154422224451).

The spelling of 121110213330 in words is "one hundred twenty-one billion, one hundred ten million, two hundred thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2309 4618 6927 11545 13854 20781 23090 34635 41562 69270 103905 207810 582793 1165586 1748379 2913965 3496758 5245137 5827930 8741895 10490274 17483790 26225685 52451370 1345669037 2691338074 4037007111 6728345185 8074014222 12111021333 13456690370 20185035555 24222042666 40370071110 60555106665 121110213330