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142302203241 = 31137367317563
BaseRepresentation
bin1000010010000111011…
…1110100110101101001
3111121022021200220212220
42010201313310311221
54312413331000431
6145212302024253
713165244525052
oct2044167646551
9447267626786
10142302203241
115539397a550
12236b4878089
131055a828c33
146c5d2b1729
153a7cdcab96
hex2121df4d69

142302203241 has 32 divisors (see below), whose sum is σ = 213159118848. Its totient is φ = 83683938240.

The previous prime is 142302203233. The next prime is 142302203249.

It is a happy number.

142302203241 is nontrivially palindromic in base 10.

142302203241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142302203233) and next prime (142302203249).

It is not a de Polignac number, because 142302203241 - 23 = 142302203233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142302203249) 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 31 ways as a sum of consecutive naturals, for example, 289326 + ... + 606888.

It is an arithmetic number, because the mean of its divisors is an integer number (6661222464).

Almost surely, 2142302203241 is an apocalyptic number.

142302203241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

142302203241 is a deficient number, since it is larger than the sum of its proper divisors (70856915607).

142302203241 is a wasteful number, since it uses less digits than its factorization.

142302203241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317981.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 142302 and 203241, that added together give a palindrome (345543).

The spelling of 142302203241 in words is "one hundred forty-two billion, three hundred two million, two hundred three thousand, two hundred forty-one".

Divisors: 1 3 11 33 37 111 367 407 1101 1221 4037 12111 13579 40737 149369 317563 448107 952689 3493193 10479579 11749831 35249493 116545621 129248141 349636863 387744423 1282001831 3846005493 4312187977 12936563931 47434067747 142302203241