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4134201100 = 2252174795077
BaseRepresentation
bin1111011001101010…
…1110011100001100
3101200010020011202021
43312122232130030
531431323413400
61522122135524
7204310062301
oct36632563414
911603204667
104134201100
111831715527
129746515a4
1350b67b453
142b30c90a8
15192e3371a
hexf66ae70c

4134201100 has 72 divisors (see below), whose sum is σ = 9520640640. Its totient is φ = 1552849920.

The previous prime is 4134201047. The next prime is 4134201101. The reversal of 4134201100 is 11024314.

Adding to 4134201100 its reverse (11024314), we get a palindrome (4145225414).

It is not an unprimeable number, because it can be changed into a prime (4134201101) 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, 811762 + ... + 816838.

It is an arithmetic number, because the mean of its divisors is an integer number (132231120).

Almost surely, 24134201100 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 4134201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4760320320).

4134201100 is an abundant number, since it is smaller than the sum of its proper divisors (5386439540).

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

4134201100 is a wasteful number, since it uses less digits than its factorization.

4134201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5587 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4134201100 is about 64297.7534599771. The cubic root of 4134201100 is about 1604.9587176359.

The spelling of 4134201100 in words is "four billion, one hundred thirty-four million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 479 850 958 1700 1916 2395 4790 5077 8143 9580 10154 11975 16286 20308 23950 25385 32572 40715 47900 50770 81430 86309 101540 126925 162860 172618 203575 253850 345236 407150 431545 507700 814300 863090 1726180 2157725 2431883 4315450 4863766 8630900 9727532 12159415 24318830 41342011 48637660 60797075 82684022 121594150 165368044 206710055 243188300 413420110 826840220 1033550275 2067100550 4134201100