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2012010200 = 2352113127701
BaseRepresentation
bin111011111101100…
…1101011011011000
312012012221201010022
41313323031123120
513110033311300
6531352210012
7100600542644
oct16773153330
95165851108
102012010200
11942800052
12481999908
13260ac0ba5
14151303c24
15bb986285
hex77ecd6d8

2012010200 has 96 divisors (see below), whose sum is σ = 4763266560. Its totient is φ = 790272000.

The previous prime is 2012010173. The next prime is 2012010211. The reversal of 2012010200 is 20102102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 2869850 + ... + 2870550.

It is an arithmetic number, because the mean of its divisors is an integer number (49617360).

Almost surely, 22012010200 is an apocalyptic number.

2012010200 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 2012010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381633280).

2012010200 is an abundant number, since it is smaller than the sum of its proper divisors (2751256360).

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

2012010200 is a wasteful number, since it uses less digits than its factorization.

2012010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 948 counting only the distinct ones).

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

The square root of 2012010200 is about 44855.4366827478. The cubic root of 2012010200 is about 1262.4380023798.

Adding to 2012010200 its reverse (20102102), we get a palindrome (2032112302).

The spelling of 2012010200 in words is "two billion, twelve million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 127 200 226 254 452 508 565 635 701 904 1016 1130 1270 1402 2260 2540 2804 2825 3175 3505 4520 5080 5608 5650 6350 7010 11300 12700 14020 14351 17525 22600 25400 28040 28702 35050 57404 70100 71755 79213 89027 114808 140200 143510 158426 178054 287020 316852 356108 358775 396065 445135 574040 633704 712216 717550 792130 890270 1435100 1584260 1780540 1980325 2225675 2870200 3168520 3561080 3960650 4451350 7921300 8902700 10060051 15842600 17805400 20120102 40240204 50300255 80480408 100600510 201201020 251501275 402402040 503002550 1006005100 2012010200