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1021304315200 = 26521323777013
BaseRepresentation
bin11101101110010100111…
…10110001110101000000
310121122011110020202211011
432313022132301311000
5113213112401041300
62101103011530304
7133533605305111
oct16671236616500
93548143222734
101021304315200
1136415072a264
12145b288b9994
1375401c5c600
1437607a54208
151b876c75eba
hexedca7b1d40

1021304315200 has 126 divisors (see below), whose sum is σ = 2721229053594. Its totient is φ = 377096878080.

The previous prime is 1021304315197. The next prime is 1021304315237. The reversal of 1021304315200 is 25134031201.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 282777205824 + 738527109376 = 531768^2 + 859376^2 .

It is a super-2 number, since 2×10213043152002 (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 17 ways as a sum of consecutive naturals, for example, 1618107 + ... + 2158906.

Almost surely, 21021304315200 is an apocalyptic number.

1021304315200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021304315200 is an abundant number, since it is smaller than the sum of its proper divisors (1699924738394).

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

1021304315200 is a wasteful number, since it uses less digits than its factorization.

1021304315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777061 (or 3777033 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 1021304315200 its reverse (25134031201), we get a palindrome (1046438346401).

The spelling of 1021304315200 in words is "one trillion, twenty-one billion, three hundred four million, three hundred fifteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 130 160 169 200 208 260 320 325 338 400 416 520 650 676 800 832 845 1040 1300 1352 1600 1690 2080 2600 2704 3380 4160 4225 5200 5408 6760 8450 10400 10816 13520 16900 20800 27040 33800 54080 67600 135200 270400 3777013 7554026 15108052 18885065 30216104 37770130 49101169 60432208 75540260 94425325 98202338 120864416 151080520 188850650 196404676 241728832 245505845 302161040 377701300 392809352 491011690 604322080 638315197 755402600 785618704 982023380 1208644160 1227529225 1276630394 1510805200 1571237408 1964046760 2455058450 2553260788 3021610400 3142474816 3191575985 3928093520 4910116900 5106521576 6043220800 6383151970 7856187040 9820233800 10213043152 12766303940 15712374080 15957879925 19640467600 20426086304 25532607880 31915759850 39280935200 40852172608 51065215760 63831519700 78561870400 102130431520 127663039400 204260863040 255326078800 510652157600 1021304315200