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4200621021 = 328914813541
BaseRepresentation
bin1111101001100000…
…0110001111011101
3101211202012122202100
43322120012033131
532100324333041
61532453515313
7206044455342
oct37230061735
911752178670
104200621021
111866160823
12992942b39
1351c36558c
142bbc587c9
15198ba36b6
hexfa6063dd

4200621021 has 24 divisors (see below), whose sum is σ = 6141615480. Its totient is φ = 2766297600.

The previous prime is 4200621017. The next prime is 4200621059. The reversal of 4200621021 is 1201260024.

4200621021 is a `hidden beast` number, since 4 + 20 + 0 + 621 + 0 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93605625 + 4107015396 = 9675^2 + 64086^2 .

It is not a de Polignac number, because 4200621021 - 22 = 4200621017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4200620985 and 4200621003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200621121) 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, 1184511 + ... + 1188051.

It is an arithmetic number, because the mean of its divisors is an integer number (255900645).

Almost surely, 24200621021 is an apocalyptic number.

It is an amenable number.

4200621021 is a deficient number, since it is larger than the sum of its proper divisors (1940994459).

4200621021 is a wasteful number, since it uses less digits than its factorization.

4200621021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5117 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4200621021 is about 64812.1980880143. The cubic root of 4200621021 is about 1613.5081637778.

Adding to 4200621021 its reverse (1201260024), we get a palindrome (5401881045).

The spelling of 4200621021 in words is "four billion, two hundred million, six hundred twenty-one thousand, twenty-one".

Divisors: 1 3 9 89 267 801 1481 3541 4443 10623 13329 31869 131809 315149 395427 945447 1186281 2836341 5244221 15732663 47197989 466735669 1400207007 4200621021