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4331104100 = 22521091972017
BaseRepresentation
bin1000000100010011…
…10110011101100100
3102011211201212212222
410002021312131210
532332230312400
61553434331512
7212220530441
oct40211663544
912154655788
104331104100
111922882684
12a0a589b98
135403bcbbb
142d13029c8
151a537a185
hex102276764

4331104100 has 72 divisors (see below), whose sum is σ = 9537592680. Its totient is φ = 1706987520.

The previous prime is 4331104087. The next prime is 4331104103. The reversal of 4331104100 is 14011334.

It can be written as a sum of positive squares in 12 ways, for example, as 26956864 + 4304147236 = 5192^2 + 65606^2 .

It is not an unprimeable number, because it can be changed into a prime (4331104103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2146292 + ... + 2148308.

It is an arithmetic number, because the mean of its divisors is an integer number (132466565).

Almost surely, 24331104100 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 4331104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768796340).

4331104100 is an abundant number, since it is smaller than the sum of its proper divisors (5206488580).

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

4331104100 is a wasteful number, since it uses less digits than its factorization.

4331104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4331104100 is about 65811.1244395657. The cubic root of 4331104100 is about 1630.0448003545.

Adding to 4331104100 its reverse (14011334), we get a palindrome (4345115434).

The spelling of 4331104100 in words is "four billion, three hundred thirty-one million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 197 218 394 436 545 788 985 1090 1970 2017 2180 2725 3940 4034 4925 5450 8068 9850 10085 10900 19700 20170 21473 40340 42946 50425 85892 100850 107365 201700 214730 219853 397349 429460 439706 536825 794698 879412 1073650 1099265 1589396 1986745 2147300 2198530 3973490 4397060 5496325 7946980 9933725 10992650 19867450 21985300 39734900 43311041 86622082 173244164 216555205 433110410 866220820 1082776025 2165552050 4331104100