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4161122300 = 22521716714657
BaseRepresentation
bin1111100000000101…
…1010111111111100
3101201222212220200202
43320001122333330
532010221403200
61524523143032
7205054645616
oct37001327774
911658786622
104161122300
111845932855
12981674a78
13514115c5a
142b68d5db6
151954a01d5
hexf805affc

4161122300 has 72 divisors (see below), whose sum is σ = 9618696864. Its totient is φ = 1557053440.

The previous prime is 4161122293. The next prime is 4161122311. The reversal of 4161122300 is 32211614.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276572 + ... + 291228.

It is an arithmetic number, because the mean of its divisors is an integer number (133593012).

Almost surely, 24161122300 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 4161122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809348432).

4161122300 is an abundant number, since it is smaller than the sum of its proper divisors (5457574564).

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

4161122300 is a wasteful number, since it uses less digits than its factorization.

4161122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14855 (or 14848 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4161122300 is about 64506.7616610848. The cubic root of 4161122300 is about 1608.4349205761.

Adding to 4161122300 its reverse (32211614), we get a palindrome (4193333914).

The spelling of 4161122300 in words is "four billion, one hundred sixty-one million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 167 170 334 340 425 668 835 850 1670 1700 2839 3340 4175 5678 8350 11356 14195 14657 16700 28390 29314 56780 58628 70975 73285 141950 146570 249169 283900 293140 366425 498338 732850 996676 1245845 1465700 2447719 2491690 4895438 4983380 6229225 9790876 12238595 12458450 24477190 24916900 41611223 48954380 61192975 83222446 122385950 166444892 208056115 244771900 416112230 832224460 1040280575 2080561150 4161122300