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20330003210100 = 223521391607303379
BaseRepresentation
bin1001001111101011100101…
…00111101001111101110100
32122222112021212201112012120
410213311302213221331310
510131041321310210400
6111123250300115540
74165536301023063
oct447656247517564
978875255645176
1020330003210100
1165289a68a0141
122344110b35bb0
13b4615a05c8ac
14503d980021da
15253c6b5a4ca0
hex127d729e9f74

20330003210100 has 144 divisors (see below), whose sum is σ = 59281714060800. Its totient is φ = 5378964750720.

The previous prime is 20330003210057. The next prime is 20330003210191. The reversal of 20330003210100 is 101230003302.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20330003210100.

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, 66860211 + ... + 67163589.

Almost surely, 220330003210100 is an apocalyptic number.

20330003210100 is a gapful number since it is divisible by the number (20) 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 20330003210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29640857030400).

20330003210100 is an abundant number, since it is smaller than the sum of its proper divisors (38951710850700).

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

20330003210100 is a wasteful number, since it uses less digits than its factorization.

20330003210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305142 (or 305135 counting only the distinct ones).

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

Adding to 20330003210100 its reverse (101230003302), we get a palindrome (20431233213402).

The spelling of 20330003210100 in words is "twenty trillion, three hundred thirty billion, three million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 139 150 278 300 417 556 695 834 1390 1607 1668 2085 2780 3214 3475 4170 4821 6428 6950 8035 8340 9642 10425 13900 16070 19284 20850 24105 32140 40175 41700 48210 80350 96420 120525 160700 223373 241050 303379 446746 482100 606758 670119 893492 910137 1116865 1213516 1340238 1516895 1820274 2233730 2680476 3033790 3350595 3640548 4467460 4550685 5584325 6067580 6701190 7584475 9101370 11168650 13402380 15168950 16752975 18202740 22337300 22753425 30337900 33505950 42169681 45506850 67011900 84339362 91013700 126509043 168678724 210848405 253018086 421696810 487530053 506036172 632545215 843393620 975060106 1054242025 1265090430 1462590159 1950120212 2108484050 2437650265 2530180860 2925180318 3162726075 4216968100 4875300530 5850360636 6325452150 7312950795 9750601060 12188251325 12650904300 14625901590 24376502650 29251803180 36564753975 48753005300 67766677367 73129507950 135533354734 146259015900 203300032101 271066709468 338833386835 406600064202 677666773670 813200128404 1016500160505 1355333547340 1694166934175 2033000321010 3388333868350 4066000642020 5082500802525 6776667736700 10165001605050 20330003210100