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220300420122 = 23219363414053
BaseRepresentation
bin1100110100101011101…
…1011010010000011010
3210001122010002212200100
43031022323122100122
512102133401420442
6245112110320230
721626151450216
oct3151273322032
9701563085610
10220300420122
1185479931312
12368421b9076
1317a0b010ba3
14a93c249946
155ae578384c
hex334aeda41a

220300420122 has 24 divisors (see below), whose sum is σ = 479790732564. Its totient is φ = 73052987904.

The previous prime is 220300420111. The next prime is 220300420147. The reversal of 220300420122 is 221024003022.

220300420122 is a `hidden beast` number, since 220 + 3 + 0 + 0 + 420 + 1 + 22 = 666.

220300420122 is digitally balanced in base 2, 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 2 ways, for example, as 205761124881 + 14539295241 = 453609^2 + 120579^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 220300420095 and 220300420104.

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 11 ways as a sum of consecutive naturals, for example, 31703553 + ... + 31710500.

Almost surely, 2220300420122 is an apocalyptic number.

220300420122 is an abundant number, since it is smaller than the sum of its proper divisors (259490312442).

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

220300420122 is a wasteful number, since it uses less digits than its factorization.

220300420122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63414254 (or 63414251 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 220300420122 its reverse (221024003022), we get a palindrome (441324423144).

The spelling of 220300420122 in words is "two hundred twenty billion, three hundred million, four hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 193 386 579 1158 1737 3474 63414053 126828106 190242159 380484318 570726477 1141452954 12238912229 24477824458 36716736687 73433473374 110150210061 220300420122