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182002120101 = 338115783059
BaseRepresentation
bin1010100110000000101…
…0111111010110100101
3122101210001002122201000
42221200022333112211
510440220020320401
6215335521023513
716102116331644
oct2514012772645
9571701078630
10182002120101
11702064a769a
122b334184b99
13142166818b9
148b47a8735b
154b03389186
hex2a602bf5a5

182002120101 has 16 divisors (see below), whose sum is σ = 269639339200. Its totient is φ = 121331790864.

The previous prime is 182002120043. The next prime is 182002120109. The reversal of 182002120101 is 101021200281.

182002120101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-182002120101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182002120109) 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, 2149710 + ... + 2232768.

It is an arithmetic number, because the mean of its divisors is an integer number (16852458700).

Almost surely, 2182002120101 is an apocalyptic number.

It is an amenable number.

182002120101 is a deficient number, since it is larger than the sum of its proper divisors (87637219099).

182002120101 is an equidigital number, since it uses as much as digits as its factorization.

182002120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164225 (or 164219 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 182002120101 its reverse (101021200281), we get a palindrome (283023320382).

The spelling of 182002120101 in words is "one hundred eighty-two billion, two million, one hundred twenty thousand, one hundred one".

Divisors: 1 3 9 27 81157 83059 243471 249177 730413 747531 2191239 2242593 6740819263 20222457789 60667373367 182002120101