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123020330220 = 223251619422141
BaseRepresentation
bin111001010010010010…
…1010100010011101100
3102202112111110021122200
41302210211110103230
54003421201031340
6132303104341500
711613362360604
oct1624445242354
9382474407580
10123020330220
11481998509a7
121ba13314890
13b7a6b69408
145d50521c04
153300213330
hex1ca49544ec

123020330220 has 72 divisors (see below), whose sum is σ = 373393041840. Its totient is φ = 32785080960.

The previous prime is 123020330183. The next prime is 123020330227. The reversal of 123020330220 is 22033020321.

It is a happy number.

123020330220 is a `hidden beast` number, since 12 + 302 + 0 + 330 + 2 + 20 = 666.

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 = 123020330193 and 123020330202.

It is not an unprimeable number, because it can be changed into a prime (123020330227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80350 + ... + 502490.

It is an arithmetic number, because the mean of its divisors is an integer number (5186014470).

Almost surely, 2123020330220 is an apocalyptic number.

123020330220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123020330220 is an abundant number, since it is smaller than the sum of its proper divisors (250372711620).

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

123020330220 is a wasteful number, since it uses less digits than its factorization.

123020330220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423775 (or 423770 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 123020330220 its reverse (22033020321), we get a palindrome (145053350541).

The spelling of 123020330220 in words is "one hundred twenty-three billion, twenty million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1619 3238 4857 6476 8095 9714 14571 16190 19428 24285 29142 32380 48570 58284 72855 97140 145710 291420 422141 844282 1266423 1688564 2110705 2532846 3799269 4221410 5065692 6332115 7598538 8442820 12664230 15197076 18996345 25328460 37992690 75985380 683446279 1366892558 2050338837 2733785116 3417231395 4100677674 6151016511 6834462790 8201355348 10251694185 12302033022 13668925580 20503388370 24604066044 30755082555 41006776740 61510165110 123020330220