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10013200200 = 23325212314519
BaseRepresentation
bin10010101001101010…
…10100111101001000
3221211211121021101200
421110311110331020
5131001334401300
64333333344200
7503064540333
oct112465247510
927754537350
1010013200200
114279210573
121b35498060
13c3765c843
146adbdb61a
153d9119200
hex254d54f48

10013200200 has 144 divisors (see below), whose sum is σ = 33662428800. Its totient is φ = 2667427200.

The previous prime is 10013200199. The next prime is 10013200207. The reversal of 10013200200 is 200231001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10013200207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2213541 + ... + 2218059.

Almost surely, 210013200200 is an apocalyptic number.

10013200200 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 10013200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16831214400).

10013200200 is an abundant number, since it is smaller than the sum of its proper divisors (23649228600).

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

10013200200 is a wasteful number, since it uses less digits than its factorization.

10013200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5772 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10013200200 its reverse (200231001), we get a palindrome (10213431201).

The spelling of 10013200200 in words is "ten billion, thirteen million, two hundred thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1231 1800 2462 3693 4519 4924 6155 7386 9038 9848 11079 12310 13557 14772 18076 18465 22158 22595 24620 27114 29544 30775 36152 36930 40671 44316 45190 49240 54228 55395 61550 67785 73860 81342 88632 90380 92325 108456 110790 112975 123100 135570 147720 162684 180760 184650 203355 221580 225950 246200 271140 276975 325368 338925 369300 406710 443160 451900 542280 553950 677850 738600 813420 903800 1016775 1107900 1355700 1626840 2033550 2215800 2711400 4067100 5562889 8134200 11125778 16688667 22251556 27814445 33377334 44503112 50066001 55628890 66754668 83443335 100132002 111257780 133509336 139072225 166886670 200264004 222515560 250330005 278144450 333773340 400528008 417216675 500660010 556288900 667546680 834433350 1001320020 1112577800 1251650025 1668866700 2002640040 2503300050 3337733400 5006600100 10013200200