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2012221103100 = 22352131129457001
BaseRepresentation
bin11101010010000001101…
…110010101101111111100
321010100220011000012202020
4131102001232111233330
5230432012100244400
64140222425400140
7265243500111165
oct35220156255774
97110804005666
102012221103100
1170641839949a
12285b94939050
131179a0461720
146d56b9c476c
1537520d752a0
hex1d481b95bfc

2012221103100 has 144 divisors (see below), whose sum is σ = 6275441783520. Its totient is φ = 494876160000.

The previous prime is 2012221103099. The next prime is 2012221103117. The reversal of 2012221103100 is 13011222102.

It is a super-2 number, since 2×20122211031002 (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 2012221103100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4174600 + ... + 4631600.

It is an arithmetic number, because the mean of its divisors is an integer number (43579456830).

Almost surely, 22012221103100 is an apocalyptic number.

2012221103100 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 2012221103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3137720891760).

2012221103100 is an abundant number, since it is smaller than the sum of its proper divisors (4263220680420).

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

2012221103100 is a wasteful number, since it uses less digits than its factorization.

2012221103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458160 (or 458153 counting only the distinct ones).

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

Adding to 2012221103100 its reverse (13011222102), we get a palindrome (2025232325202).

The spelling of 2012221103100 in words is "two trillion, twelve billion, two hundred twenty-one million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1129 1300 1950 2258 3387 3900 4516 5645 6774 11290 13548 14677 16935 22580 28225 29354 33870 44031 56450 58708 67740 73385 84675 88062 112900 146770 169350 176124 220155 293540 338700 366925 440310 457001 733850 880620 914002 1100775 1371003 1467700 1828004 2201550 2285005 2742006 4403100 4570010 5484012 5941013 6855015 9140020 11425025 11882026 13710030 17823039 22850050 23764052 27420060 29705065 34275075 35646078 45700100 59410130 68550150 71292156 89115195 118820260 137100300 148525325 178230390 297050650 356460780 445575975 515954129 594101300 891151950 1031908258 1547862387 1782303900 2063816516 2579770645 3095724774 5159541290 6191449548 6707403677 7739311935 10319082580 12898853225 13414807354 15478623870 20122211031 25797706450 26829614708 30957247740 33537018385 38696559675 40244422062 51595412900 67074036770 77393119350 80488844124 100611055155 134148073540 154786238700 167685091925 201222110310 335370183850 402444220620 503055275775 670740367700 1006110551550 2012221103100