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2100131100 = 2232523763067
BaseRepresentation
bin111110100101101…
…0111010100011100
312102100202201021100
41331023113110130
513300113143400
6544221033100
7103020551124
oct17513272434
95370681240
102100131100
11988518641
124a73b5790
13276135732
1415ccc1c84
15c4591100
hex7d2d751c

2100131100 has 108 divisors (see below), whose sum is σ = 6760763464. Its totient is φ = 544890240.

The previous prime is 2100131083. The next prime is 2100131107. The reversal of 2100131100 is 11310012.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100131107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1767 + ... + 64833.

Almost surely, 22100131100 is an apocalyptic number.

2100131100 is a gapful number since it is divisible by the number (20) 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 2100131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380381732).

2100131100 is an abundant number, since it is smaller than the sum of its proper divisors (4660632364).

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

2100131100 is a wasteful number, since it uses less digits than its factorization.

2100131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63124 (or 63114 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2100131100 is about 45827.1873455049. The cubic root of 2100131100 is about 1280.6058126756.

Adding to 2100131100 its reverse (11310012), we get a palindrome (2111441112).

The spelling of 2100131100 in words is "two billion, one hundred million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 63067 126134 189201 252268 315335 378402 567603 630670 756804 946005 1135206 1261340 1576675 1892010 2270412 2333479 2838015 3153350 3784020 4666958 4730025 5676030 6306700 7000437 9333916 9460050 11352060 11667395 14000874 14190075 18920100 21001311 23334790 28001748 28380150 35002185 42002622 46669580 56760300 58336975 70004370 84005244 105006555 116673950 140008740 175010925 210013110 233347900 350021850 420026220 525032775 700043700 1050065550 2100131100