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103133203300000 = 25559710632289
BaseRepresentation
bin10111011100110010010001…
…111100100111111010100000
3111112011102211021002112212101
4113130302101330213322200
5102004213300021100000
61003202423423140144
730503061630566626
oct2734622174477240
9445142737075771
10103133203300000
112a952600649755
12b697aa5144654
13457155b3a3253
141b679607bb516
15bdcae81c7e6a
hex5dcc91f27ea0

103133203300000 has 144 divisors (see below), whose sum is σ = 256404520544760. Its totient is φ = 40827985920000.

The previous prime is 103133203299989. The next prime is 103133203300051. The reversal of 103133203300000 is 3302331301.

It can be written as a sum of positive squares in 12 ways, for example, as 23105364694416 + 80027838605584 = 4806804^2 + 8945828^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4383856 + ... + 15016144.

Almost surely, 2103133203300000 is an apocalyptic number.

103133203300000 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 103133203300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128202260272380).

103133203300000 is an abundant number, since it is smaller than the sum of its proper divisors (153271317244760).

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

103133203300000 is an frugal number, since it uses more digits than its factorization.

103133203300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10632421 (or 10632393 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 103133203300000 its reverse (3302331301), we get a palindrome (103136505631301).

The spelling of 103133203300000 in words is "one hundred three trillion, one hundred thirty-three billion, two hundred three million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 125 160 194 200 250 388 400 485 500 625 776 800 970 1000 1250 1552 1940 2000 2425 2500 3104 3125 3880 4000 4850 5000 6250 7760 9700 10000 12125 12500 15520 19400 20000 24250 25000 38800 48500 50000 60625 77600 97000 100000 121250 194000 242500 303125 388000 485000 606250 970000 1212500 1940000 2425000 4850000 9700000 10632289 21264578 42529156 53161445 85058312 106322890 170116624 212645780 265807225 340233248 425291560 531614450 850583120 1031332033 1063228900 1329036125 1701166240 2062664066 2126457800 2658072250 4125328132 4252915600 5156660165 5316144500 6645180625 8250656264 8505831200 10313320330 10632289000 13290361250 16501312528 20626640660 21264578000 25783300825 26580722500 33002625056 33225903125 41253281320 42529156000 51566601650 53161445000 66451806250 82506562640 103133203300 106322890000 128916504125 132903612500 165013125280 206266406600 212645780000 257833008250 265807225000 412532813200 515666016500 531614450000 644582520625 825065626400 1031332033000 1063228900000 1289165041250 2062664066000 2578330082500 3222912603125 4125328132000 5156660165000 6445825206250 10313320330000 12891650412500 20626640660000 25783300825000 51566601650000 103133203300000