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1100000100200 = 235231467379913
BaseRepresentation
bin10000000000011101000…
…111010111111101101000
310220011021220020212011212
4100000131013113331220
5121010300011201300
62201155535412252
7142321012402451
oct20003507277550
93804256225155
101100000100200
1139456441a301
1215922b984088
137c963b11a71
143b3514d2128
151d9309c0935
hex1001d1d7f68

1100000100200 has 96 divisors (see below), whose sum is σ = 2645660309760. Its totient is φ = 424893580800.

The previous prime is 1100000100127. The next prime is 1100000100203. The reversal of 1100000100200 is 20010000011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (1100000100203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2705444 + ... + 3085356.

It is an arithmetic number, because the mean of its divisors is an integer number (27558961560).

Almost surely, 21100000100200 is an apocalyptic number.

1100000100200 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 1100000100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322830154880).

1100000100200 is an abundant number, since it is smaller than the sum of its proper divisors (1545660209560).

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

1100000100200 is a wasteful number, since it uses less digits than its factorization.

1100000100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380427 (or 380418 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1100000100200 its reverse (20010000011), we get a palindrome (1120010100211).

The spelling of 1100000100200 in words is "one trillion, one hundred billion, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 467 620 775 934 1240 1550 1868 2335 3100 3736 4670 6200 9340 11675 14477 18680 23350 28954 46700 57908 72385 93400 115816 144770 289540 361925 379913 579080 723850 759826 1447700 1519652 1899565 2895400 3039304 3799130 7598260 9497825 11777303 15196520 18995650 23554606 37991300 47109212 58886515 75982600 94218424 117773030 177419371 235546060 294432575 354838742 471092120 588865150 709677484 887096855 1177730300 1419354968 1774193710 2355460600 3548387420 4435484275 5500000501 7096774840 8870968550 11000001002 17741937100 22000002004 27500002505 35483874200 44000004008 55000005010 110000010020 137500012525 220000020040 275000025050 550000050100 1100000100200