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10200010210300 = 22521572233797687
BaseRepresentation
bin1001010001101101111111…
…1111000011101111111100
31100010010000020201200020001
42110123133333003233330
52314104110103212200
633405453042004044
72101632522155041
oct224333777035774
940103006650201
1010200010210300
113282888939389
1211889b6946624
1358cb1a610ba1
1427397c70b1c8
1512a4d423276a
hex946dffc3bfc

10200010210300 has 144 divisors (see below), whose sum is σ = 22436846172160. Its totient is φ = 4024665066240.

The previous prime is 10200010210219. The next prime is 10200010210373. The reversal of 10200010210300 is 301201000201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1326913057 + ... + 1326920743.

Almost surely, 210200010210300 is an apocalyptic number.

10200010210300 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 10200010210300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11218423086080).

10200010210300 is an abundant number, since it is smaller than the sum of its proper divisors (12236835961860).

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

10200010210300 is a wasteful number, since it uses less digits than its factorization.

10200010210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8460 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10200010210300 its reverse (301201000201), we get a palindrome (10501211210501).

The spelling of 10200010210300 in words is "ten trillion, two hundred billion, ten million, two hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 223 314 379 446 628 758 785 892 1115 1516 1570 1895 2230 3140 3790 3925 4460 5575 7580 7687 7850 9475 11150 15374 15700 18950 22300 30748 35011 37900 38435 59503 70022 76870 84517 119006 140044 153740 169034 175055 192175 238012 297515 338068 350110 384350 422585 595030 700220 768700 845170 875275 1190060 1206859 1487575 1690340 1714201 1750550 2112925 2413718 2913373 2975150 3428402 3501100 4225850 4827436 5826746 5950300 6034295 6856804 8451700 8571005 11653492 12068590 13269169 14566865 17142010 24137180 26538338 29133730 30171475 34284020 42855025 53076676 58267460 60342950 66345845 72834325 85710050 120685900 132691690 145668650 171420100 265383380 269129557 291337300 331729225 457399561 538259114 649682179 663458450 914799122 1076518228 1299364358 1326916900 1345647785 1829598244 2286997805 2598728716 2691295570 3248410895 4573995610 5382591140 6496821790 6728238925 9147991220 11434989025 12993643580 13456477850 16242054475 22869978050 26912955700 32484108950 45739956100 64968217900 102000102103 204000204206 408000408412 510000510515 1020001021030 2040002042060 2550002552575 5100005105150 10200010210300