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11310322312300 = 22521119541163747
BaseRepresentation
bin1010010010010110001110…
…1111100110010001101100
31111001020220210211111112111
42210211203233212101230
52440302020002443200
640015520151413404
72245100221256644
oct244454357462154
944036823744474
1011310322312300
1136707540a4220
121328024084264
1364073595095b
142b15cb57b524
1514931a1910ba
hexa4963be646c

11310322312300 has 72 divisors (see below), whose sum is σ = 28183807995840. Its totient is φ = 3896378971200.

The previous prime is 11310322312277. The next prime is 11310322312301. The reversal of 11310322312300 is 321322301311.

11310322312300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113103223123002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (11310322312301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270560974 + ... + 270602773.

It is an arithmetic number, because the mean of its divisors is an integer number (391441777720).

Almost surely, 211310322312300 is an apocalyptic number.

11310322312300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11310322312300 is an abundant number, since it is smaller than the sum of its proper divisors (16873485683540).

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

11310322312300 is a wasteful number, since it uses less digits than its factorization.

11310322312300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541163791 (or 541163784 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 11310322312300 its reverse (321322301311), we get a palindrome (11631644613611).

The spelling of 11310322312300 in words is "eleven trillion, three hundred ten billion, three hundred twenty-two million, three hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 275 380 418 475 550 836 950 1045 1100 1900 2090 4180 5225 10450 20900 541163747 1082327494 2164654988 2705818735 5411637470 5952801217 10282111193 10823274940 11905602434 13529093675 20564222386 23811204868 27058187350 29764006085 41128444772 51410555965 54116374700 59528012170 102821111930 113103223123 119056024340 148820030425 205642223860 226206446246 257052779825 297640060850 452412892492 514105559650 565516115615 595280121700 1028211119300 1131032231230 2262064462460 2827580578075 5655161156150 11310322312300