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2134541100 = 22352371031867
BaseRepresentation
bin111111100111010…
…1000001100101100
312111202111220220210
41333032220030230
513332420303400
6551450342420
7103616204616
oct17716501454
95452456823
102134541100
119a599035a
124b6a2aa10
132802c2a93
141636bbdb6
15c75db950
hex7f3a832c

2134541100 has 144 divisors (see below), whose sum is σ = 6407867648. Its totient is φ = 548156160.

The previous prime is 2134541099. The next prime is 2134541153. The reversal of 2134541100 is 11454312.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1142367 + ... + 1144233.

Almost surely, 22134541100 is an apocalyptic number.

2134541100 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 2134541100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203933824).

2134541100 is an abundant number, since it is smaller than the sum of its proper divisors (4273326548).

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

2134541100 is a wasteful number, since it uses less digits than its factorization.

2134541100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2134541100 is about 46201.0941428880. The cubic root of 2134541100 is about 1287.5620682052.

Adding to 2134541100 its reverse (11454312), we get a palindrome (2145995412).

The spelling of 2134541100 in words is "two billion, one hundred thirty-four million, five hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 103 111 148 150 185 206 222 300 309 370 412 444 515 555 618 740 925 1030 1110 1236 1545 1850 1867 2060 2220 2575 2775 3090 3700 3734 3811 5150 5550 5601 6180 7468 7622 7725 9335 10300 11100 11202 11433 15244 15450 18670 19055 22404 22866 28005 30900 37340 38110 45732 46675 56010 57165 69079 76220 93350 95275 112020 114330 138158 140025 186700 190550 192301 207237 228660 276316 280050 285825 345395 381100 384602 414474 560100 571650 576903 690790 769204 828948 961505 1036185 1143300 1153806 1381580 1726975 1923010 2072370 2307612 2884515 3453950 3846020 4144740 4807525 5180925 5769030 6907900 7115137 9615050 10361850 11538060 14230274 14422575 19230100 20723700 21345411 28460548 28845150 35575685 42690822 57690300 71151370 85381644 106727055 142302740 177878425 213454110 355756850 426908220 533635275 711513700 1067270550 2134541100