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101210111200 = 25521121045559
BaseRepresentation
bin101111001000010010…
…1111011110011100000
3100200020111200100202001
41132100211323303200
53124234242024300
6114254551533344
710212036515332
oct1362045736340
9320214610661
10101210111200
1139a17518600
121774708a254
13970c434283
144c81a63452
1529755c116a
hex179097bce0

101210111200 has 108 divisors (see below), whose sum is σ = 271583164440. Its totient is φ = 36803641600.

The previous prime is 101210111173. The next prime is 101210111203. The reversal of 101210111200 is 2111012101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210111203) 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 17 ways as a sum of consecutive naturals, for example, 425980 + ... + 619579.

It is an arithmetic number, because the mean of its divisors is an integer number (2514658930).

Almost surely, 2101210111200 is an apocalyptic number.

101210111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210111200 is an abundant number, since it is smaller than the sum of its proper divisors (170373053240).

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

101210111200 is a wasteful number, since it uses less digits than its factorization.

101210111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045601 (or 1045577 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101210111200 its reverse (2111012101), we get a palindrome (103321123301).

Subtracting from 101210111200 its reverse (2111012101), we obtain a palindrome (99099099099).

The spelling of 101210111200 in words is "one hundred one billion, two hundred ten million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 160 176 200 220 242 275 352 400 440 484 550 605 800 880 968 1100 1210 1760 1936 2200 2420 3025 3872 4400 4840 6050 8800 9680 12100 19360 24200 48400 96800 1045559 2091118 4182236 5227795 8364472 10455590 11501149 16728944 20911180 23002298 26138975 33457888 41822360 46004596 52277950 57505745 83644720 92009192 104555900 115011490 126512639 167289440 184018384 209111800 230022980 253025278 287528725 368036768 418223600 460045960 506050556 575057450 632563195 836447200 920091920 1012101112 1150114900 1265126390 1840183840 2024202224 2300229800 2530252780 3162815975 4048404448 4600459600 5060505560 6325631950 9200919200 10121011120 12651263900 20242022240 25302527800 50605055600 101210111200