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1101300345200 = 245211751333283
BaseRepresentation
bin10000000001101010100…
…111011010100101110000
310220021122111220011000002
4100001222213122211300
5121020430342021300
62201532544245132
7142365151323266
oct20015247324560
93807574804002
101101300345200
11395071374650
121595333107a8
137cb103043c3
143b436078436
151d9a9c0d5d5
hex1006a9da970

1101300345200 has 120 divisors (see below), whose sum is σ = 2890260178176. Its totient is φ = 399938400000.

The previous prime is 1101300345191. The next prime is 1101300345203. The reversal of 1101300345200 is 25430031011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101300345203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3137759 + ... + 3471041.

Almost surely, 21101300345200 is an apocalyptic number.

1101300345200 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 1101300345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445130089088).

1101300345200 is an abundant number, since it is smaller than the sum of its proper divisors (1788959832976).

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

1101300345200 is a wasteful number, since it uses less digits than its factorization.

1101300345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334063 (or 334052 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 1101300345200 its reverse (25430031011), we get a palindrome (1126730376211).

The spelling of 1101300345200 in words is "one trillion, one hundred one billion, three hundred million, three hundred forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 751 880 1100 1502 2200 3004 3755 4400 6008 7510 8261 12016 15020 16522 18775 30040 33044 37550 41305 60080 66088 75100 82610 132176 150200 165220 206525 300400 330440 333283 413050 660880 666566 826100 1333132 1652200 1666415 2666264 3304400 3332830 3666113 5332528 6665660 7332226 8332075 13331320 14664452 16664150 18330565 26662640 29328904 33328300 36661130 58657808 66656600 73322260 91652825 133313200 146644520 183305650 250295533 293289040 366611300 500591066 733222600 1001182132 1251477665 1466445200 2002364264 2502955330 2753250863 4004728528 5005910660 5506501726 6257388325 10011821320 11013003452 12514776650 13766254315 20023642640 22026006904 25029553300 27532508630 44052013808 50059106600 55065017260 68831271575 100118213200 110130034520 137662543150 220260069040 275325086300 550650172600 1101300345200