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301121332020 = 223255932821073
BaseRepresentation
bin1000110000111000011…
…10101110001100110100
31001210020122220121002200
410120130032232030310
514413144030111040
6350155551104500
730520032043035
oct4303416561464
91053218817080
10301121332020
11106783161683
124a438b12130
132251b23b092
1410808034a8c
157c75d5a630
hex461c3ae334

301121332020 has 72 divisors (see below), whose sum is σ = 914942003976. Its totient is φ = 80163581952.

The previous prime is 301121331977. The next prime is 301121332063. The reversal of 301121332020 is 20233121103.

301121332020 is a `hidden beast` number, since 301 + 1 + 21 + 3 + 320 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (301121331977) and next prime (301121332063).

It can be written as a sum of positive squares in 4 ways, for example, as 3549456 + 301117782564 = 1884^2 + 548742^2 .

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 = 301121331984 and 301121332002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1303797 + ... + 1517276.

It is an arithmetic number, because the mean of its divisors is an integer number (12707527833).

Almost surely, 2301121332020 is an apocalyptic number.

301121332020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

301121332020 is an abundant number, since it is smaller than the sum of its proper divisors (613820671956).

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

301121332020 is a wasteful number, since it uses less digits than its factorization.

301121332020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821681 (or 2821676 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 301121332020 its reverse (20233121103), we get a palindrome (321354453123).

The spelling of 301121332020 in words is "three hundred one billion, one hundred twenty-one million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 593 1186 1779 2372 2965 3558 5337 5930 7116 8895 10674 11860 17790 21348 26685 35580 53370 106740 2821073 5642146 8463219 11284292 14105365 16926438 25389657 28210730 33852876 42316095 50779314 56421460 84632190 101558628 126948285 169264380 253896570 507793140 1672896289 3345792578 5018688867 6691585156 8364481445 10037377734 15056066601 16728962890 20074755468 25093444335 30112133202 33457925780 50186888670 60224266404 75280333005 100373777340 150560666010 301121332020