Search a number
-
+
120010211100021 = 31116750942782879
BaseRepresentation
bin11011010010011000001110…
…000000001000010101110101
3120201220212022221202122212010
4123102120032000020111311
5111212221403020200041
61103123532504114433
734164310623124104
oct3322301600102565
9521825287678763
10120010211100021
113526a054562850
1211562948a65a19
1351c6bb6a898a8
14218c74d26403b
15dd1b1ad11a16
hex6d260e008575

120010211100021 has 32 divisors (see below), whose sum is σ = 175950583603200. Its totient is φ = 72155890719680.

The previous prime is 120010211099983. The next prime is 120010211100047. The reversal of 120010211100021 is 120001112010021.

It is a cyclic number.

It is not a de Polignac number, because 120010211100021 - 242 = 115612164588917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010211800021) 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 31 ways as a sum of consecutive naturals, for example, 18586341 + ... + 24196538.

It is an arithmetic number, because the mean of its divisors is an integer number (5498455737600).

Almost surely, 2120010211100021 is an apocalyptic number.

120010211100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120010211100021 is a deficient number, since it is larger than the sum of its proper divisors (55940372503179).

120010211100021 is a wasteful number, since it uses less digits than its factorization.

120010211100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42783569.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120010211100021 its reverse (120001112010021), we get a palindrome (240011323110042).

The spelling of 120010211100021 in words is "one hundred twenty trillion, ten billion, two hundred eleven million, one hundred thousand, twenty-one".

Divisors: 1 3 11 33 167 501 509 1527 1837 5511 5599 16797 85003 255009 935033 2805099 42782879 128348637 470611669 1411835007 7144740793 21434222379 21776485411 65329456233 78592148723 235776446169 239541339521 718624018563 3636673063637 10910019190911 40003403700007 120010211100021