Search a number
-
+
202132311021 = 3237607003937
BaseRepresentation
bin1011110001000000000…
…1100100101111101101
3201022201221121022022200
42330100001210233231
511302431332423041
6232505220532113
720414012203134
oct2742001445755
9638657538280
10202132311021
11787a6469013
1233211851039
13160a4010b84
149ad737c91b
1553d07701b6
hex2f10064bed

202132311021 has 12 divisors (see below), whose sum is σ = 299859945372. Its totient is φ = 131112850176.

The previous prime is 202132311019. The next prime is 202132311077. The reversal of 202132311021 is 120113231202.

202132311021 is a `hidden beast` number, since 202 + 132 + 311 + 0 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 77056208100 + 125076102921 = 277590^2 + 353661^2 .

It is not a de Polignac number, because 202132311021 - 21 = 202132311019 is a prime.

It is a super-3 number, since 3×2021323110213 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202132310985 and 202132311003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202132321021) 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, 303501636 + ... + 303502301.

It is an arithmetic number, because the mean of its divisors is an integer number (24988328781).

Almost surely, 2202132311021 is an apocalyptic number.

It is an amenable number.

202132311021 is a deficient number, since it is larger than the sum of its proper divisors (97727634351).

202132311021 is a wasteful number, since it uses less digits than its factorization.

202132311021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607003980 (or 607003977 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 202132311021 its reverse (120113231202), we get a palindrome (322245542223).

The spelling of 202132311021 in words is "two hundred two billion, one hundred thirty-two million, three hundred eleven thousand, twenty-one".

Divisors: 1 3 9 37 111 333 607003937 1821011811 5463035433 22459145669 67377437007 202132311021