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131000300199 = 32292683187073
BaseRepresentation
bin111101000000000111…
…0011111001010100111
3110112010122011202112100
41322000032133022213
54121242034101244
6140103011023143
712315211115316
oct1720016371247
9415118152470
10131000300199
115061428850a
122147b89aab3
13c4791b8542
1464aa29427d
15361aaa3b69
hex1e8039f2a7

131000300199 has 24 divisors (see below), whose sum is σ = 195821580240. Its totient is φ = 84290153472.

The previous prime is 131000300191. The next prime is 131000300209. The reversal of 131000300199 is 991003000131.

It is not a de Polignac number, because 131000300199 - 23 = 131000300191 is a prime.

It is a super-2 number, since 2×1310003001992 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131000300191) 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 23 ways as a sum of consecutive naturals, for example, 606727 + ... + 793799.

It is an arithmetic number, because the mean of its divisors is an integer number (8159232510).

Almost surely, 2131000300199 is an apocalyptic number.

131000300199 is a deficient number, since it is larger than the sum of its proper divisors (64821280041).

131000300199 is a wasteful number, since it uses less digits than its factorization.

131000300199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189791 (or 189788 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The spelling of 131000300199 in words is "one hundred thirty-one billion, three hundred thousand, one hundred ninety-nine".

Divisors: 1 3 9 29 87 261 2683 8049 24147 77807 187073 233421 561219 700263 1683657 5425117 16275351 48826053 501916859 1505750577 4517251731 14555588911 43666766733 131000300199