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2010121200600 = 233523599332039
BaseRepresentation
bin11101010000000100100…
…011110110001111011000
321010011110210200010001120
4131100010203312033120
5230413212011404400
64135234213245240
7265140451201362
oct35200443661730
97104423603046
102010121200600
11705540017687
122856a9633820
131177273a9076
146d40cb61d32
153744b82bca0
hex1d4048f63d8

2010121200600 has 96 divisors (see below), whose sum is σ = 6248733984000. Its totient is φ = 534539136640.

The previous prime is 2010121200599. The next prime is 2010121200617. The reversal of 2010121200600 is 60021210102.

It is a super-2 number, since 2×20101212006002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2010121200600.

It is a congruent number.

It is an unprimeable number.

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, 4450620 + ... + 4881419.

It is an arithmetic number, because the mean of its divisors is an integer number (65090979000).

Almost surely, 22010121200600 is an apocalyptic number.

2010121200600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010121200600 is an abundant number, since it is smaller than the sum of its proper divisors (4238612783400).

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

2010121200600 is a wasteful number, since it uses less digits than its factorization.

2010121200600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9332417 (or 9332408 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2010121200600 its reverse (60021210102), we get a palindrome (2070142410702).

The spelling of 2010121200600 in words is "two trillion, ten billion, one hundred twenty-one million, two hundred thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 359 600 718 1077 1436 1795 2154 2872 3590 4308 5385 7180 8616 8975 10770 14360 17950 21540 26925 35900 43080 53850 71800 107700 215400 9332039 18664078 27996117 37328156 46660195 55992234 74656312 93320390 111984468 139980585 186640780 223968936 233300975 279961170 373281560 466601950 559922340 699902925 933203900 1119844680 1399805850 1866407800 2799611700 3350202001 5599223400 6700404002 10050606003 13400808004 16751010005 20101212006 26801616008 33502020010 40202424012 50253030015 67004040020 80404848024 83755050025 100506060030 134008080040 167510100050 201012120060 251265150075 335020200100 402024240120 502530300150 670040400200 1005060600300 2010121200600