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202120303231 = 71153243720323
BaseRepresentation
bin1011110000111101001…
…1110001001001111111
3201022201010000020201201
42330033103301021333
511302420244200411
6232504111320331
720413505142040
oct2741723611177
9638633006651
10202120303231
117879a707420
12332098200a7
13160a1698482
149ad59348c7
1553ce69c3c1
hex2f0f4f127f

202120303231 has 32 divisors (see below), whose sum is σ = 256866743808. Its totient is φ = 154453703040.

The previous prime is 202120303199. The next prime is 202120303249. The reversal of 202120303231 is 132303021202.

It is not a de Polignac number, because 202120303231 - 25 = 202120303199 is a prime.

It is a super-2 number, since 2×2021203032312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202120303199 and 202120303208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202120303331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9935236 + ... + 9955558.

It is an arithmetic number, because the mean of its divisors is an integer number (8027085744).

Almost surely, 2202120303231 is an apocalyptic number.

202120303231 is a deficient number, since it is larger than the sum of its proper divisors (54746440577).

202120303231 is a wasteful number, since it uses less digits than its factorization.

202120303231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22831.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 202120303231 its reverse (132303021202), we get a palindrome (334423324433).

It can be divided in two parts, 20212030 and 3231, that added together give a triangular number (20215261 = T6358).

The spelling of 202120303231 in words is "two hundred two billion, one hundred twenty million, three hundred three thousand, two hundred thirty-one".

Divisors: 1 7 11 53 77 371 583 2437 4081 17059 20323 26807 129161 142261 187649 223553 904127 1077119 1420771 1564871 7539833 9945397 11848309 49527151 82938163 346690057 544798661 2624939003 3813590627 18374573021 28874329033 202120303231