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102433334201 = 1123532398177
BaseRepresentation
bin101111101100110000…
…0001010001110111001
3100210101202101112020122
41133121200022032321
53134240413143301
6115020205503025
710254251655212
oct1373140121671
9323352345218
10102433334201
113a494a46100
1217a28871a75
139875999b73
144d5a2ba409
1529e7b9781b
hex17d980a3b9

102433334201 has 12 divisors (see below), whose sum is σ = 112911016596. Its totient is φ = 92857374720.

The previous prime is 102433334197. The next prime is 102433334243.

102433334201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 61889498176 + 40543836025 = 248776^2 + 201355^2 .

It is not a de Polignac number, because 102433334201 - 22 = 102433334197 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102433334251) 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 11 ways as a sum of consecutive naturals, for example, 1156376 + ... + 1241801.

It is an arithmetic number, because the mean of its divisors is an integer number (9409251383).

Almost surely, 2102433334201 is an apocalyptic number.

102433334201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102433334201 is a deficient number, since it is larger than the sum of its proper divisors (10477682395).

102433334201 is a wasteful number, since it uses less digits than its factorization.

102433334201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398552 (or 2398541 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 102433 and 334201, that added together give a palindrome (436634).

The spelling of 102433334201 in words is "one hundred two billion, four hundred thirty-three million, three hundred thirty-four thousand, two hundred one".

Divisors: 1 11 121 353 3883 42713 2398177 26379947 290179417 846556481 9312121291 102433334201