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1021031201300 = 22521117163334973
BaseRepresentation
bin11101101101110100011…
…00111011101000010100
310121121110102100010222112
432312322030323220110
5113212032441420200
62101015534050152
7133524051004505
oct16667214735024
93547412303875
101021031201300
113640205497a0
12145a71349958
137538a4b6356
14375bd67cbac
151b85ccc8535
hexedba33ba14

1021031201300 has 144 divisors (see below), whose sum is σ = 2574947817792. Its totient is φ = 347298969600.

The previous prime is 1021031201299. The next prime is 1021031201371. The reversal of 1021031201300 is 31021301201.

It is a super-2 number, since 2×10210312013002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2880614 + ... + 3215586.

It is an arithmetic number, because the mean of its divisors is an integer number (17881582068).

Almost surely, 21021031201300 is an apocalyptic number.

1021031201300 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 1021031201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287473908896).

1021031201300 is an abundant number, since it is smaller than the sum of its proper divisors (1553916616492).

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

1021031201300 is a wasteful number, since it uses less digits than its factorization.

1021031201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335178 (or 335171 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1021031201300 its reverse (31021301201), we get a palindrome (1052052502501).

Subtracting from 1021031201300 its reverse (31021301201), we obtain a palindrome (990009900099).

The spelling of 1021031201300 in words is "one trillion, twenty-one billion, thirty-one million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 163 170 187 220 275 326 340 374 425 550 652 748 815 850 935 1100 1630 1700 1793 1870 2771 3260 3586 3740 4075 4675 5542 7172 8150 8965 9350 11084 13855 16300 17930 18700 27710 30481 35860 44825 55420 60962 69275 89650 121924 138550 152405 179300 277100 304810 334973 609620 669946 762025 1339892 1524050 1674865 3048100 3349730 3684703 5694541 6699460 7369406 8374325 11389082 14738812 16748650 18423515 22778164 28472705 33497300 36847030 54600599 56945410 62639951 73694060 92117575 109201198 113890820 125279902 142363525 184235150 218402396 250559804 273002995 284727050 313199755 368470300 546005990 569454100 600606589 626399510 928210183 1092011980 1201213178 1252799020 1365014975 1565998775 1856420366 2402426356 2730029950 3003032945 3131997550 3712840732 4641050915 5460059900 6006065890 6263995100 9282101830 10210312013 12012131780 15015164725 18564203660 20420624026 23205254575 30030329450 40841248052 46410509150 51051560065 60060658900 92821018300 102103120130 204206240260 255257800325 510515600650 1021031201300