Search a number
-
+
122081289 = 31119194707
BaseRepresentation
bin1110100011011…
…01000000001001
322111201101001020
413101231000021
5222223100124
620040343053
73011450061
oct721550011
9274641036
10122081289
1162a03530
1234a74a89
131c3a5365
14122dc3a1
15aab7379
hex746d009

122081289 has 16 divisors (see below), whose sum is σ = 186919680. Its totient is φ = 70094160.

The previous prime is 122081287. The next prime is 122081291. The reversal of 122081289 is 982180221.

It is an interprime number because it is at equal distance from previous prime (122081287) and next prime (122081291).

It is not a de Polignac number, because 122081289 - 21 = 122081287 is a prime.

It is a super-2 number, since 2×1220812892 = 29807682247803042, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122081287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96727 + ... + 97980.

It is an arithmetic number, because the mean of its divisors is an integer number (11682480).

Almost surely, 2122081289 is an apocalyptic number.

122081289 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

122081289 is a deficient number, since it is larger than the sum of its proper divisors (64838391).

122081289 is a wasteful number, since it uses less digits than its factorization.

122081289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194740.

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 122081289 is about 11049.0401845590. The cubic root of 122081289 is about 496.0776968663.

The spelling of 122081289 in words is "one hundred twenty-two million, eighty-one thousand, two hundred eighty-nine".

Divisors: 1 3 11 19 33 57 209 627 194707 584121 2141777 3699433 6425331 11098299 40693763 122081289