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13102003302000 = 243539187237691
BaseRepresentation
bin1011111010101000110001…
…0000001010111001110000
31201101112120010201011020120
42332222030100022321300
53204130400321131000
643510551025210240
72521405566353454
oct276521420127160
951345503634216
1013102003302000
1141a158a328288
12157730a490980
1374068a52a152
143341d7160664
1517ac2e6d76a0
hexbea8c40ae70

13102003302000 has 160 divisors (see below), whose sum is σ = 42245634273024. Its totient is φ = 3493472544000.

The previous prime is 13102003301993. The next prime is 13102003302001. The reversal of 13102003302000 is 20330020131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102003302001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55003155 + ... + 55240845.

Almost surely, 213102003302000 is an apocalyptic number.

13102003302000 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 13102003302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21122817136512).

13102003302000 is an abundant number, since it is smaller than the sum of its proper divisors (29143630971024).

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

13102003302000 is a wasteful number, since it uses less digits than its factorization.

13102003302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246904 (or 246888 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13102003302000 its reverse (20330020131), we get a palindrome (13122333322131).

The spelling of 13102003302000 in words is "thirteen trillion, one hundred two billion, three million, three hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 9187 18374 27561 36748 45935 55122 73496 91870 110244 137805 146992 183740 220488 229675 237691 275610 367480 440976 459350 475382 551220 689025 713073 734960 918700 950764 1102440 1148375 1188455 1378050 1426146 1837400 1901528 2204880 2296750 2376910 2756100 2852292 3445125 3565365 3674800 3803056 4593500 4753820 5512200 5704584 5942275 6890250 7130730 9187000 9507640 11024400 11409168 11884550 13780500 14261460 17826825 18374000 19015280 23769100 27561000 28522920 29711375 35653650 47538200 55122000 57045840 59422750 71307300 89134125 95076400 118845500 142614600 178268250 237691000 285229200 356536500 475382000 713073000 1426146000 2183667217 4367334434 6551001651 8734668868 10918336085 13102003302 17469337736 21836672170 26204006604 32755008255 34938675472 43673344340 52408013208 54591680425 65510016510 87346688680 104816026416 109183360850 131020033020 163775041275 174693377360 218366721700 262040066040 272958402125 327550082550 436733443400 524080132080 545916804250 655100165100 818875206375 873466886800 1091833608500 1310200330200 1637750412750 2183667217000 2620400660400 3275500825500 4367334434000 6551001651000 13102003302000