Search a number
-
+
123120232221 = 37291087185987
BaseRepresentation
bin111001010101010001…
…0011010011100011101
3102202210110102211102210
41302222202122130131
54004122234412341
6132321033511033
711616014464230
oct1625242323435
9382713384383
10123120232221
1148240185838
121ba40872479
13b7c177741c
145d5d8c9417
153308d98c16
hex1caa89a71d

123120232221 has 32 divisors (see below), whose sum is σ = 194260746240. Its totient is φ = 67865547456.

The previous prime is 123120232181. The next prime is 123120232247. The reversal of 123120232221 is 122232021321.

It is not a de Polignac number, because 123120232221 - 27 = 123120232093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123120230221) 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, 568990 + ... + 754976.

It is an arithmetic number, because the mean of its divisors is an integer number (6070648320).

Almost surely, 2123120232221 is an apocalyptic number.

It is an amenable number.

123120232221 is a deficient number, since it is larger than the sum of its proper divisors (71140514019).

123120232221 is a wasteful number, since it uses less digits than its factorization.

123120232221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187113.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 123120232221 its reverse (122232021321), we get a palindrome (245352253542).

The spelling of 123120232221 in words is "one hundred twenty-three billion, one hundred twenty million, two hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 21 29 87 203 609 1087 3261 7609 22827 31523 94569 185987 220661 557961 661983 1301909 3905727 5393623 16180869 37755361 113266083 202167869 606503607 1415175083 4245525249 5862868201 17588604603 41040077407 123120232221