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4200201020 = 2252416311381
BaseRepresentation
bin1111101001011001…
…1111101100111100
3101211201102022121202
43322112133230330
532100222413040
61532440515032
7206041056011
oct37226375474
911751368552
104200201020
1118659a4214
1299277ba78
1351c249362
142bbb89708
15198b1e015
hexfa59fb3c

4200201020 has 48 divisors (see below), whose sum is σ = 8877481536. Its totient is φ = 1669248000.

The previous prime is 4200201017. The next prime is 4200201041. The reversal of 4200201020 is 201020024.

It is a junction number, because it is equal to n+sod(n) for n = 4200200992 and 4200201010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3040730 + ... + 3042110.

It is an arithmetic number, because the mean of its divisors is an integer number (184947532).

Almost surely, 24200201020 is an apocalyptic number.

It is an amenable number.

4200201020 is an abundant number, since it is smaller than the sum of its proper divisors (4677280516).

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

4200201020 is a wasteful number, since it uses less digits than its factorization.

4200201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4200201020 is about 64808.9578684922. The cubic root of 4200201020 is about 1613.4543862033.

Adding to 4200201020 its reverse (201020024), we get a palindrome (4401221044).

The spelling of 4200201020 in words is "four billion, two hundred million, two hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 241 482 631 964 1205 1262 1381 2410 2524 2762 3155 4820 5524 6310 6905 12620 13810 27620 152071 304142 332821 608284 665642 760355 871411 1331284 1520710 1664105 1742822 3041420 3328210 3485644 4357055 6656420 8714110 17428220 210010051 420020102 840040204 1050050255 2100100510 4200201020