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1101220200200 = 2352313123714221
BaseRepresentation
bin10000000001100101110…
…101101011111100001000
310220021102221002100201202
4100001211311223330020
5121020244332401300
62201521002403332
7142363156154351
oct20014565537410
93807387070652
101101220200200
1139503010450a
12159510500548
137cac9823023
143b429574d28
151d9a2b7bad5
hex10065d6bf08

1101220200200 has 96 divisors (see below), whose sum is σ = 2570774124360. Its totient is φ = 438694963200.

The previous prime is 1101220200191. The next prime is 1101220200209. The reversal of 1101220200200 is 20020221011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1101220200191) and next prime (1101220200209).

It can be written as a sum of positive squares in 12 ways, for example, as 17618314756 + 1083601885444 = 132734^2 + 1040962^2 .

It is not an unprimeable number, because it can be changed into a prime (1101220200209) 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, 77429090 + ... + 77443310.

Almost surely, 21101220200200 is an apocalyptic number.

1101220200200 is a gapful number since it is divisible by the number (10) 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 1101220200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285387062180).

1101220200200 is an abundant number, since it is smaller than the sum of its proper divisors (1469553924160).

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

1101220200200 is a wasteful number, since it uses less digits than its factorization.

1101220200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15787 (or 15778 counting only the distinct ones).

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

Adding to 1101220200200 its reverse (20020221011), we get a palindrome (1121240421211).

The spelling of 1101220200200 in words is "one trillion, one hundred one billion, two hundred twenty million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 313 626 1237 1252 1565 2474 2504 3130 4948 6185 6260 7825 9896 12370 12520 14221 15650 24740 28442 30925 31300 49480 56884 61850 62600 71105 113768 123700 142210 247400 284420 355525 387181 568840 711050 774362 1422100 1548724 1935905 2844200 3097448 3871810 4451173 7743620 8902346 9679525 15487240 17591377 17804692 19359050 22255865 35182754 35609384 38718100 44511730 70365508 77436200 87956885 89023460 111279325 140731016 175913770 178046920 222558650 351827540 439784425 445117300 703655080 879568850 890234600 1759137700 3518275400 5506101001 11012202002 22024404004 27530505005 44048808008 55061010010 110122020020 137652525025 220244040040 275305050050 550610100100 1101220200200