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1101200220020 = 225298921332821
BaseRepresentation
bin10000000001100100101…
…001011101111101110100
310220021101112111021002002
4100001210221131331310
5121020224224020040
62201515010234432
7142362524300165
oct20014451357564
93807345437062
101101200220020
1139501a8a806a
12159505885a18
137cac5648934
143b426a5376c
151d9a1031a15
hex10064a5df74

1101200220020 has 48 divisors (see below), whose sum is σ = 2419142014800. Its totient is φ = 420512547840.

The previous prime is 1101200220013. The next prime is 1101200220037. The reversal of 1101200220020 is 200220021011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17877294436 + 1083322925584 = 133706^2 + 1040828^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1101200219983 and 1101200220010.

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 15 ways as a sum of consecutive naturals, for example, 10614791 + ... + 10718030.

It is an arithmetic number, because the mean of its divisors is an integer number (50398791975).

Almost surely, 21101200220020 is an apocalyptic number.

1101200220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101200220020 is an abundant number, since it is smaller than the sum of its proper divisors (1317941794780).

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

1101200220020 is a wasteful number, since it uses less digits than its factorization.

1101200220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21332948 (or 21332946 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1101200220020 its reverse (200220021011), we get a palindrome (1301420241031).

The spelling of 1101200220020 in words is "one trillion, one hundred one billion, two hundred million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 89 116 145 178 290 356 445 580 890 1780 2581 5162 10324 12905 25810 51620 21332821 42665642 85331284 106664105 213328210 426656420 618651809 1237303618 1898621069 2474607236 3093259045 3797242138 6186518090 7594484276 9493105345 12373036180 18986210690 37972421380 55060011001 110120022002 220240044004 275300055005 550600110010 1101200220020