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202001302300 = 22527318790547
BaseRepresentation
bin1011110000100000110…
…1110100001100011100
3201022101211002101010211
42330020031310030130
511302144313133200
6232444220542204
720410531511410
oct2741015641434
9638354071124
10202001302300
1178739518246
12331959b1964
1316082b31215
149ac3bd8d40
1553c3ee2aba
hex2f0837431c

202001302300 has 72 divisors (see below), whose sum is σ = 501125953664. Its totient is φ = 69235093440.

The previous prime is 202001302277. The next prime is 202001302301. The reversal of 202001302300 is 3203100202.

It is a happy number.

It is a super-2 number, since 2×2020013023002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202001302301) 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, 2185627 + ... + 2276173.

Almost surely, 2202001302300 is an apocalyptic number.

202001302300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001302300 is an abundant number, since it is smaller than the sum of its proper divisors (299124651364).

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

202001302300 is a wasteful number, since it uses less digits than its factorization.

202001302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93755 (or 93748 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 202001302300 its reverse (3203100202), we get a palindrome (205204402502).

It can be divided in two parts, 20200 and 1302300, that added together give a square (1322500 = 11502).

The spelling of 202001302300 in words is "two hundred two billion, one million, three hundred two thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 3187 6374 12748 15935 22309 31870 44618 63740 79675 89236 90547 111545 159350 181094 223090 318700 362188 446180 452735 557725 633829 905470 1115450 1267658 1810940 2230900 2263675 2535316 3169145 4527350 6338290 9054700 12676580 15845725 31691450 63382900 288573289 577146578 1154293156 1442866445 2020013023 2885732890 4040026046 5771465780 7214332225 8080052092 10100065115 14428664450 20200130230 28857328900 40400260460 50500325575 101000651150 202001302300