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200148021 = 32171308157
BaseRepresentation
bin10111110111000…
…00010000110101
3111221121120110200
423323200100311
5402214214041
631505511113
74650141633
oct1373402065
9457546420
10200148021
11a2a84197
1257042499
13326097a8
141c820353
15128881b6
hexbee0435

200148021 has 12 divisors (see below), whose sum is σ = 306108972. Its totient is φ = 125582976.

The previous prime is 200148017. The next prime is 200148037. The reversal of 200148021 is 120841002.

200148021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 173211921 + 26936100 = 13161^2 + 5190^2 .

It is not a de Polignac number, because 200148021 - 22 = 200148017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200147985 and 200148003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200148821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 653926 + ... + 654231.

It is an arithmetic number, because the mean of its divisors is an integer number (25509081).

Almost surely, 2200148021 is an apocalyptic number.

It is an amenable number.

200148021 is a deficient number, since it is larger than the sum of its proper divisors (105960951).

200148021 is a wasteful number, since it uses less digits than its factorization.

200148021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308180 (or 1308177 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 200148021 is about 14147.3679884281. The cubic root of 200148021 is about 584.9477840749.

Adding to 200148021 its reverse (120841002), we get a palindrome (320989023).

The spelling of 200148021 in words is "two hundred million, one hundred forty-eight thousand, twenty-one".

Divisors: 1 3 9 17 51 153 1308157 3924471 11773413 22238669 66716007 200148021