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202011114432 = 2634125661981
BaseRepresentation
bin1011110000100011001…
…1001111101111000000
3201022102111112212212010
42330020303033233000
511302204321130212
6232445211132520
720411011066251
oct2741063175700
9638374485763
10202011114432
117874400a246
1233199144140
1316084b8840a
149ac5230b28
1553c4cd003c
hex2f08ccfbc0

202011114432 has 56 divisors (see below), whose sum is σ = 547524047952. Its totient is φ = 65694668800.

The previous prime is 202011114323. The next prime is 202011114439. The reversal of 202011114432 is 234411110202.

202011114432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 202011114399 and 202011114408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202011114439) 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 7 ways as a sum of consecutive naturals, for example, 12823119 + ... + 12838862.

It is an arithmetic number, because the mean of its divisors is an integer number (9777215142).

Almost surely, 2202011114432 is an apocalyptic number.

It is an amenable number.

202011114432 is an abundant number, since it is smaller than the sum of its proper divisors (345512933520).

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

202011114432 is a wasteful number, since it uses less digits than its factorization.

202011114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25662037 (or 25662027 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 202011114432 its reverse (234411110202), we get a palindrome (436422224634).

The spelling of 202011114432 in words is "two hundred two billion, eleven million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 25661981 51323962 76985943 102647924 153971886 205295848 307943772 410591696 615887544 821183392 1052141221 1231775088 1642366784 2104282442 2463550176 3156423663 4208564884 4927100352 6312847326 8417129768 12625694652 16834259536 25251389304 33668519072 50502778608 67337038144 101005557216 202011114432