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1102404200 = 235261109829
BaseRepresentation
bin100000110110101…
…0101101001101000
32211211100221021012
41001231111221220
54224203413300
6301220203052
736214165262
oct10155255150
92754327235
101102404200
11516307657
12269239488
131475130a1
14a65a6b32
1566bad435
hex41b55a68

1102404200 has 96 divisors (see below), whose sum is σ = 2632179000. Its totient is φ = 429235200.

The previous prime is 1102404167. The next prime is 1102404209. The reversal of 1102404200 is 24042011.

It can be written as a sum of positive squares in 12 ways, for example, as 8514724 + 1093889476 = 2918^2 + 33074^2 .

It is not an unprimeable number, because it can be changed into a prime (1102404209) 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, 1329386 + ... + 1330214.

Almost surely, 21102404200 is an apocalyptic number.

1102404200 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 1102404200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316089500).

1102404200 is an abundant number, since it is smaller than the sum of its proper divisors (1529774800).

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

1102404200 is a wasteful number, since it uses less digits than its factorization.

1102404200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1102404200 is about 33202.4727994768. The cubic root of 1102404200 is about 1033.0316311946.

Adding to 1102404200 its reverse (24042011), we get a palindrome (1126446211).

It can be divided in two parts, 1 and 102404200, that added together give a palindrome (102404201).

The spelling of 1102404200 in words is "one billion, one hundred two million, four hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 109 122 200 218 244 305 436 488 545 610 829 872 1090 1220 1525 1658 2180 2440 2725 3050 3316 4145 4360 5450 6100 6632 6649 8290 10900 12200 13298 16580 20725 21800 26596 33160 33245 41450 50569 53192 66490 82900 90361 101138 132980 165800 166225 180722 202276 252845 265960 332450 361444 404552 451805 505690 664900 722888 903610 1011380 1264225 1329800 1807220 2022760 2259025 2528450 3614440 4518050 5056900 5512021 9036100 10113800 11024042 18072200 22048084 27560105 44096168 55120210 110240420 137800525 220480840 275601050 551202100 1102404200