Search a number
-
+
211120012209 = 32923313037993
BaseRepresentation
bin1100010010011110111…
…0111011101110110001
3202011221022112211112110
43010213232323232301
511424333210342314
6240553122315533
721152515331451
oct3044756735661
9664838484473
10211120012209
1181598819a37
1234abb7b8ba9
1316ba7076162
14a30acb1d61
15575981ca59
hex3127bbbbb1

211120012209 has 32 divisors (see below), whose sum is σ = 292710862080. Its totient is φ = 135189347328.

The previous prime is 211120012183. The next prime is 211120012283. The reversal of 211120012209 is 902210021112.

It is not a de Polignac number, because 211120012209 - 25 = 211120012177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211120010209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26409117 + ... + 26417109.

It is an arithmetic number, because the mean of its divisors is an integer number (9147214440).

Almost surely, 2211120012209 is an apocalyptic number.

211120012209 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

211120012209 is a deficient number, since it is larger than the sum of its proper divisors (81590849871).

211120012209 is a wasteful number, since it uses less digits than its factorization.

211120012209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9561.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 211120012209 in words is "two hundred eleven billion, one hundred twenty million, twelve thousand, two hundred nine".

Divisors: 1 3 29 87 233 699 1303 3909 6757 7993 20271 23979 37787 113361 231797 303599 695391 910797 1862369 5587107 8804371 10414879 26413113 31244637 54008701 162026103 302031491 906094473 2426666807 7280000421 70373337403 211120012209