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302131022002020 = 223251678505677789
BaseRepresentation
bin100010010110010010101110…
…0001111011111011101100100
31110121202102222101210202122200
41010230211130033133131210
5304100103313113031040
62550325024141254500
7120432150243561201
oct10454453417373544
91417672871722580
10302131022002020
11882a5057420702
1229a77023b64430
13cc77aaa4b2623
1454873103c8ca8
1524de1c427a630
hex112c95c3df764

302131022002020 has 36 divisors (see below), whose sum is σ = 916464100073340. Its totient is φ = 80568272533824.

The previous prime is 302131022002013. The next prime is 302131022002037. The reversal of 302131022002020 is 20200220131203.

302131022002020 is a `hidden beast` number, since 30 + 213 + 1 + 0 + 220 + 0 + 202 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 140281330897764 + 161849691104256 = 11844042^2 + 12722016^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 302131022001984 and 302131022002002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 839252838715 + ... + 839252839074.

Almost surely, 2302131022002020 is an apocalyptic number.

302131022002020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

302131022002020 is an abundant number, since it is smaller than the sum of its proper divisors (614333078071320).

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

302131022002020 is a wasteful number, since it uses less digits than its factorization.

302131022002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678505677804 (or 1678505677799 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 302131022002020 its reverse (20200220131203), we get a palindrome (322331242133223).

The spelling of 302131022002020 in words is "three hundred two trillion, one hundred thirty-one billion, twenty-two million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1678505677789 3357011355578 5035517033367 6714022711156 8392528388945 10071034066734 15106551100101 16785056777890 20142068133468 25177585166835 30213102200202 33570113555780 50355170333670 60426204400404 75532755500505 100710340667340 151065511001010 302131022002020