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2100122011300 = 2252171235365889
BaseRepresentation
bin11110100011111001000…
…001101100011010100100
321102202210010002000020211
4132203321001230122210
5233402022213330200
64244441023105204
7304504660362445
oct36437101543244
97382703060224
102100122011300
1173a725141875
1229b026742204
1312306b423341
1473909bd12cc
1539967cb8aba
hex1e8f906c6a4

2100122011300 has 36 divisors (see below), whose sum is σ = 4825339166340. Its totient is φ = 790634168320.

The previous prime is 2100122011241. The next prime is 2100122011313. The reversal of 2100122011300 is 31102210012.

It can be written as a sum of positive squares in 6 ways, for example, as 31340329024 + 2068781682276 = 177032^2 + 1438326^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617681245 + ... + 617684644.

It is an arithmetic number, because the mean of its divisors is an integer number (134037199065).

Almost surely, 22100122011300 is an apocalyptic number.

2100122011300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100122011300 is an abundant number, since it is smaller than the sum of its proper divisors (2725217155040).

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

2100122011300 is a wasteful number, since it uses less digits than its factorization.

2100122011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235365920 (or 1235365913 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 2100122011300 its reverse (31102210012), we get a palindrome (2131224221312).

The spelling of 2100122011300 in words is "two trillion, one hundred billion, one hundred twenty-two million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 1235365889 2470731778 4941463556 6176829445 12353658890 21001220113 24707317780 30884147225 42002440226 61768294450 84004880452 105006100565 123536588900 210012201130 420024402260 525030502825 1050061005650 2100122011300