Search a number
-
+
200012110000 = 2454131152681
BaseRepresentation
bin1011101001000110100…
…1101001100010110000
3201010021012001221021221
42322101221221202300
511234111100010000
6231515001354424
720310325612063
oct2722151514260
9633235057257
10200012110000
117790869266a
123291b798a14
1315b2699c261
1499759548da
15530956761a
hex2e91a698b0

200012110000 has 100 divisors (see below), whose sum is σ = 487949075064. Its totient is φ = 79393600000.

The previous prime is 200012109971. The next prime is 200012110003. The reversal of 200012110000 is 11210002.

200012110000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (200012110003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1233660 + ... + 1386340.

Almost surely, 2200012110000 is an apocalyptic number.

200012110000 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 200012110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243974537532).

200012110000 is an abundant number, since it is smaller than the sum of its proper divisors (287936965064).

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

200012110000 is a wasteful number, since it uses less digits than its factorization.

200012110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152840 (or 152819 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 200012110000 its reverse (11210002), we get a palindrome (200023320002).

The spelling of 200012110000 in words is "two hundred billion, twelve million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 131 200 250 262 400 500 524 625 655 1000 1048 1250 1310 2000 2096 2500 2620 3275 5000 5240 6550 10000 10480 13100 16375 26200 32750 52400 65500 81875 131000 152681 163750 262000 305362 327500 610724 655000 763405 1221448 1310000 1526810 2442896 3053620 3817025 6107240 7634050 12214480 15268100 19085125 20001211 30536200 38170250 40002422 61072400 76340500 80004844 95425625 100006055 152681000 160009688 190851250 200012110 305362000 320019376 381702500 400024220 500030275 763405000 800048440 1000060550 1526810000 1600096880 2000121100 2500151375 4000242200 5000302750 8000484400 10000605500 12500756875 20001211000 25001513750 40002422000 50003027500 100006055000 200012110000