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1020300012200 = 235274671560569
BaseRepresentation
bin11101101100011101001…
…11101010101010101000
310121112120110110220002202
432312032213222222220
5113204033300342300
62100415214115332
7133466662003040
oct16661647525250
93545513426082
101020300012200
11363785837587
121458a84abb48
13752a1b76991
1437550506720
151b8189e4ad5
hexed8e9eaaa8

1020300012200 has 96 divisors (see below), whose sum is σ = 2716889947200. Its totient is φ = 349067850240.

The previous prime is 1020300012181. The next prime is 1020300012203. The reversal of 1020300012200 is 22100030201.

It is a happy number.

It is a super-2 number, since 2×10203000122002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1020300012203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126485 + ... + 1434084.

It is an arithmetic number, because the mean of its divisors is an integer number (28300936950).

Almost surely, 21020300012200 is an apocalyptic number.

1020300012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020300012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358444973600).

1020300012200 is an abundant number, since it is smaller than the sum of its proper divisors (1696589935000).

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

1020300012200 is a wasteful number, since it uses less digits than its factorization.

1020300012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561059 (or 1561050 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 1020300012200 its reverse (22100030201), we get a palindrome (1042400042401).

The spelling of 1020300012200 in words is "one trillion, twenty billion, three hundred million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 467 700 934 1400 1868 2335 3269 3736 4670 6538 9340 11675 13076 16345 18680 23350 26152 32690 46700 65380 81725 93400 130760 163450 326900 653800 1560569 3121138 6242276 7802845 10923983 12484552 15605690 21847966 31211380 39014225 43695932 54619915 62422760 78028450 87391864 109239830 156056900 218479660 273099575 312113800 436959320 546199150 728785723 1092398300 1457571446 2184796600 2915142892 3643928615 5101500061 5830285784 7287857230 10203000122 14575714460 18219643075 20406000244 25507500305 29151428920 36439286150 40812000488 51015000610 72878572300 102030001220 127537501525 145757144600 204060002440 255075003050 510150006100 1020300012200