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2042341100 = 22521071631171
BaseRepresentation
bin111100110111011…
…1010011011101100
312021100000200021222
41321232322123230
513140314403400
6534354242512
7101416420142
oct17156723354
95240020258
102042341100
11958937108
1248bb86438
13267180677
1415535b592
15be478185
hex79bba6ec

2042341100 has 72 divisors (see below), whose sum is σ = 4504586688. Its totient is φ = 803649600.

The previous prime is 2042341073. The next prime is 2042341123. The reversal of 2042341100 is 11432402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1743515 + ... + 1744685.

It is an arithmetic number, because the mean of its divisors is an integer number (62563704).

Almost surely, 22042341100 is an apocalyptic number.

2042341100 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 2042341100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252293344).

2042341100 is an abundant number, since it is smaller than the sum of its proper divisors (2462245588).

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

2042341100 is a wasteful number, since it uses less digits than its factorization.

2042341100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2042341100 is about 45192.2681440089. The cubic root of 2042341100 is about 1268.7501084714.

Adding to 2042341100 its reverse (11432402), we get a palindrome (2053773502).

The spelling of 2042341100 in words is "two billion, forty-two million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 163 214 326 428 535 652 815 1070 1171 1630 2140 2342 2675 3260 4075 4684 5350 5855 8150 10700 11710 16300 17441 23420 29275 34882 58550 69764 87205 117100 125297 174410 190873 250594 348820 381746 436025 501188 626485 763492 872050 954365 1252970 1744100 1908730 2505940 3132425 3817460 4771825 6264850 9543650 12529700 19087300 20423411 40846822 81693644 102117055 204234110 408468220 510585275 1021170550 2042341100