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42331100 = 22527253163
BaseRepresentation
bin1010000101111…
…0101111011100
32221122122100112
42201132233130
541314043400
64111145152
71022544200
oct241365734
987578315
1042331100
1121992a89
12122151b8
138a018b6
14589cb00
153ab2835
hex285ebdc

42331100 has 108 divisors (see below), whose sum is σ = 109539864. Its totient is φ = 14152320.

The previous prime is 42331099. The next prime is 42331103. The reversal of 42331100 is 113324.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42331103) 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, 259619 + ... + 259781.

It is an arithmetic number, because the mean of its divisors is an integer number (1014258).

Almost surely, 242331100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54769932).

42331100 is an abundant number, since it is smaller than the sum of its proper divisors (67208764).

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

42331100 is a wasteful number, since it uses less digits than its factorization.

42331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 42331100 is about 6506.2354706850. The cubic root of 42331100 is about 348.5136972318.

Adding to 42331100 its reverse (113324), we get a palindrome (42444424).

The spelling of 42331100 in words is "forty-two million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 53 70 98 100 106 140 163 175 196 212 245 265 326 350 371 490 530 652 700 742 815 980 1060 1141 1225 1325 1484 1630 1855 2282 2450 2597 2650 3260 3710 4075 4564 4900 5194 5300 5705 7420 7987 8150 8639 9275 10388 11410 12985 15974 16300 17278 18550 22820 25970 28525 31948 34556 37100 39935 43195 51940 57050 60473 64925 79870 86390 114100 120946 129850 159740 172780 199675 215975 241892 259700 302365 399350 423311 431950 604730 798700 846622 863900 1209460 1511825 1693244 2116555 3023650 4233110 6047300 8466220 10582775 21165550 42331100