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100002020200 = 235210313137057
BaseRepresentation
bin101110100100010010…
…1011011101101101000
3100120010022102222102221
41131020211123231220
53114301004121300
6113535034203424
710140100101205
oct1351045335550
9316108388387
10100002020200
1139457595995
121746a583574
139579069124
144ba9428cac
1529044d831a
hex174895bb68

100002020200 has 96 divisors (see below), whose sum is σ = 236560484160. Its totient is φ = 39309004800.

The previous prime is 100002020197. The next prime is 100002020201. The reversal of 100002020200 is 2020200001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100002020201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2680072 + ... + 2717128.

It is an arithmetic number, because the mean of its divisors is an integer number (2464171710).

Almost surely, 2100002020200 is an apocalyptic number.

100002020200 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 100002020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118280242080).

100002020200 is an abundant number, since it is smaller than the sum of its proper divisors (136558463960).

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

100002020200 is a wasteful number, since it uses less digits than its factorization.

100002020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37307 (or 37298 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 100002020200 its reverse (2020200001), we get a palindrome (102022220201).

The spelling of 100002020200 in words is "one hundred billion, two million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 131 200 206 262 412 515 524 655 824 1030 1048 1310 2060 2575 2620 3275 4120 5150 5240 6550 10300 13100 13493 20600 26200 26986 37057 53972 67465 74114 107944 134930 148228 185285 269860 296456 337325 370570 539720 674650 741140 926425 1349300 1482280 1852850 2698600 3705700 3816871 4854467 7411400 7633742 9708934 15267484 19084355 19417868 24272335 30534968 38168710 38835736 48544670 76337420 95421775 97089340 121361675 152674840 190843550 194178680 242723350 381687100 485446700 500010101 763374200 970893400 1000020202 2000040404 2500050505 4000080808 5000101010 10000202020 12500252525 20000404040 25000505050 50001010100 100002020200