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202060139121 = 321498372
BaseRepresentation
bin1011110000101110111…
…0010000101001110001
3201022112220210121002100
42330023232100221301
511302304343422441
6232454122011013
720412144562341
oct2741356205161
9638486717070
10202060139121
1178769754215
12331b1646a69
13160920918c9
149acb952d21
1553c9265cb6
hex2f0bb90a71

202060139121 has 9 divisors (see below), whose sum is σ = 291866593291. Its totient is φ = 134705860392.

The previous prime is 202060139107. The next prime is 202060139179. The reversal of 202060139121 is 121931060202.

The square root of 202060139121 is 449511.

It is a perfect power (a square), and thus also a powerful number.

202060139121 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 601 + 39 + 1 + 21 = 666.

202060139121 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 only one way, i.e., 197549136225 + 4511002896 = 444465^2 + 67164^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 202060139121 - 217 = 202060008049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202060139621) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1273615 + ... + 1423451.

Almost surely, 2202060139121 is an apocalyptic number.

202060139121 is the 449511-st square number.

202060139121 is the 224756-th centered octagonal number.

It is an amenable number.

202060139121 is a deficient number, since it is larger than the sum of its proper divisors (89806454170).

202060139121 is an frugal number, since it uses more digits than its factorization.

202060139121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299680 (or 149840 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Multiplying 202060139121 by its product of nonzero digits (1296), we get a square (261869940300816 = 161823962).

Adding to 202060139121 its reverse (121931060202), we get a palindrome (323991199323).

The spelling of 202060139121 in words is "two hundred two billion, sixty million, one hundred thirty-nine thousand, one hundred twenty-one".

Divisors: 1 3 9 149837 449511 1348533 22451126569 67353379707 202060139121