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2012211200100 = 2235218127370021
BaseRepresentation
bin11101010010000001001…
…000100100000001100100
321010100212110101002101110
4131102001020210001210
5230432002031400400
64140221433225020
7265243316664363
oct35220110440144
97110773332343
102012211200100
117064128451a2
12285b91562170
1311799b3a506a
146d56a5677da
153752006ae50
hex1d481224064

2012211200100 has 72 divisors (see below), whose sum is σ = 5822334652288. Its totient is φ = 536558601600.

The previous prime is 2012211200081. The next prime is 2012211200119. The reversal of 2012211200100 is 10021122102.

It is an interprime number because it is at equal distance from previous prime (2012211200081) and next prime (2012211200119).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5253090 + ... + 5623110.

Almost surely, 22012211200100 is an apocalyptic number.

2012211200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2012211200100 is an abundant number, since it is smaller than the sum of its proper divisors (3810123452188).

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

2012211200100 is a wasteful number, since it uses less digits than its factorization.

2012211200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388165 (or 388158 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2012211200100 its reverse (10021122102), we get a palindrome (2022232322202).

It can be divided in two parts, 2012 and 211200100, that added together give a palindrome (211202112).

The spelling of 2012211200100 in words is "two trillion, twelve billion, two hundred eleven million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 18127 36254 54381 72508 90635 108762 181270 217524 271905 362540 370021 453175 543810 740042 906350 1087620 1110063 1359525 1480084 1812700 1850105 2220126 2719050 3700210 4440252 5438100 5550315 7400420 9250525 11100630 18501050 22201260 27751575 37002100 55503150 111006300 6707370667 13414741334 20122112001 26829482668 33536853335 40244224002 67073706670 80488448004 100610560005 134147413340 167684266675 201221120010 335368533350 402442240020 503052800025 670737066700 1006105600050 2012211200100