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131064419 = 2373251311
BaseRepresentation
bin1111100111111…
…10001001100011
3100010121202120202
413303332021203
5232023030134
621001055415
73151013003
oct763761143
9303552522
10131064419
1167a89702
1237a8756b
13211cc115
141359a003
15b78dd7e
hex7cfe263

131064419 has 16 divisors (see below), whose sum is σ = 139636224. Its totient is φ = 122760000.

The previous prime is 131064383. The next prime is 131064421. The reversal of 131064419 is 914460131.

It is a cyclic number.

It is not a de Polignac number, because 131064419 - 28 = 131064163 is a prime.

It is a super-2 number, since 2×1310644192 = 34355763855615122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131064391 and 131064400.

It is not an unprimeable number, because it can be changed into a prime (131064449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421274 + ... + 421584.

It is an arithmetic number, because the mean of its divisors is an integer number (8727264).

Almost surely, 2131064419 is an apocalyptic number.

131064419 is a deficient number, since it is larger than the sum of its proper divisors (8571805).

131064419 is a wasteful number, since it uses less digits than its factorization.

131064419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 131064419 is about 11448.3369534618. The cubic root of 131064419 is about 507.9585430756.

The spelling of 131064419 in words is "one hundred thirty-one million, sixty-four thousand, four hundred nineteen".

Divisors: 1 23 73 251 311 1679 5773 7153 18323 22703 78061 421429 522169 1795403 5698453 131064419