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4202113300 = 22527113671487
BaseRepresentation
bin1111101001110111…
…0010100100010100
3101211212000110202221
43322131302210110
532101220111200
61532545512124
7206063242120
oct37235624424
911755013687
104202113300
111866a8aa10
12993342644
1351c768898
142bc126580
15198d9a91a
hexfa772914

4202113300 has 144 divisors (see below), whose sum is σ = 11407269888. Its totient is φ = 1305302400.

The previous prime is 4202113231. The next prime is 4202113313. The reversal of 4202113300 is 33112024.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2825157 + ... + 2826643.

It is an arithmetic number, because the mean of its divisors is an integer number (79217152).

Almost surely, 24202113300 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 4202113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703634944).

4202113300 is an abundant number, since it is smaller than the sum of its proper divisors (7205156588).

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

4202113300 is a wasteful number, since it uses less digits than its factorization.

4202113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4202113300 is about 64823.7093971025. The cubic root of 4202113300 is about 1613.6992084882.

Adding to 4202113300 its reverse (33112024), we get a palindrome (4235225324).

The spelling of 4202113300 in words is "four billion, two hundred two million, one hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 367 385 550 700 734 770 1100 1468 1487 1540 1835 1925 2569 2974 3670 3850 4037 5138 5948 7340 7435 7700 8074 9175 10276 10409 12845 14870 16148 16357 18350 20185 20818 25690 28259 29740 32714 36700 37175 40370 41636 51380 52045 56518 64225 65428 74350 80740 81785 100925 104090 113036 114499 128450 141295 148700 163570 201850 208180 228998 256900 260225 282590 327140 403700 408925 457996 520450 545729 565180 572495 706475 817850 1040900 1091458 1144990 1412950 1635700 2182916 2289980 2728645 2825900 2862475 3820103 5457290 5724950 6003019 7640206 10914580 11449900 12006038 13643225 15280412 19100515 24012076 27286450 30015095 38201030 42021133 54572900 60030190 76402060 84042266 95502575 120060380 150075475 168084532 191005150 210105665 300150950 382010300 420211330 600301900 840422660 1050528325 2101056650 4202113300