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202312434331 = 7232943330999
BaseRepresentation
bin1011110001101011000…
…0101100001010011011
3201100012111112112001101
42330122300230022123
511303313440344311
6232535133332231
720421330214030
oct2743260541233
9640174475041
10202312434331
1178889105357
1233262037077
1316102428c07
149b13269387
1553e149eec1
hex2f1ac2c29b

202312434331 has 16 divisors (see below), whose sum is σ = 249586560000. Its totient is φ = 160151368608.

The previous prime is 202312434307. The next prime is 202312434343. The reversal of 202312434331 is 133434213202.

It is a happy number.

202312434331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202312434331 - 213 = 202312426139 is a prime.

It is a super-3 number, since 3×2023124343313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 202312434331.

It is not an unprimeable number, because it can be changed into a prime (202312434631) 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 15 ways as a sum of consecutive naturals, for example, 21660831 + ... + 21670168.

It is an arithmetic number, because the mean of its divisors is an integer number (15599160000).

Almost surely, 2202312434331 is an apocalyptic number.

202312434331 is a deficient number, since it is larger than the sum of its proper divisors (47274125669).

202312434331 is a wasteful number, since it uses less digits than its factorization.

202312434331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43331058.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 202312434331 its reverse (133434213202), we get a palindrome (335746647533).

The spelling of 202312434331 in words is "two hundred two billion, three hundred twelve million, four hundred thirty-four thousand, three hundred thirty-one".

Divisors: 1 7 23 29 161 203 667 4669 43330999 303316993 996612977 1256598971 6976290839 8796192797 28901776333 202312434331