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2010320200 = 235274135023
BaseRepresentation
bin111011111010011…
…0000110101001000
312012002202211212201
41313310300311020
513104120221300
6531252045544
7100550303560
oct16764606510
95162684781
102010320200
11941856359
124813038b4
1326064b8a5
14150dc3da0
15bb75066a
hex77d30d48

2010320200 has 96 divisors (see below), whose sum is σ = 5472149760. Its totient is φ = 672422400.

The previous prime is 2010320197. The next prime is 2010320269. The reversal of 2010320200 is 20230102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39889 + ... + 74911.

It is an arithmetic number, because the mean of its divisors is an integer number (57001560).

Almost surely, 22010320200 is an apocalyptic number.

2010320200 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 2010320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736074880).

2010320200 is an abundant number, since it is smaller than the sum of its proper divisors (3461829560).

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

2010320200 is a wasteful number, since it uses less digits than its factorization.

2010320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35087 (or 35078 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2010320200 is about 44836.5944291044. The cubic root of 2010320200 is about 1262.0844392522.

Adding to 2010320200 its reverse (20230102), we get a palindrome (2030550302).

The spelling of 2010320200 in words is "two billion, ten million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 41 50 56 70 82 100 140 164 175 200 205 280 287 328 350 410 574 700 820 1025 1148 1400 1435 1640 2050 2296 2870 4100 5740 7175 8200 11480 14350 28700 35023 57400 70046 140092 175115 245161 280184 350230 490322 700460 875575 980644 1225805 1400920 1435943 1751150 1961288 2451610 2871886 3502300 4903220 5743772 6129025 7004600 7179715 9806440 10051601 11487544 12258050 14359430 20103202 24516100 28718860 35898575 40206404 49032200 50258005 57437720 71797150 80412808 100516010 143594300 201032020 251290025 287188600 402064040 502580050 1005160100 2010320200