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131216405 = 5733071171
BaseRepresentation
bin1111101001000…
…11010000010101
3100010220111001212
413310203100111
5232042411110
621004231205
73152215055
oct764432025
9303814055
10131216405
1168082911
1237b3b505
1321253358
14135d9565
15b7bde05
hex7d23415

131216405 has 16 divisors (see below), whose sum is σ = 160273344. Its totient is φ = 103109760.

The previous prime is 131216399. The next prime is 131216419. The reversal of 131216405 is 504612131.

It is not a de Polignac number, because 131216405 - 226 = 64107541 is a prime.

It is a super-2 number, since 2×1312164052 = 34435489882248050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111470 + ... + 112640.

It is an arithmetic number, because the mean of its divisors is an integer number (10017084).

Almost surely, 2131216405 is an apocalyptic number.

It is an amenable number.

131216405 is a deficient number, since it is larger than the sum of its proper divisors (29056939).

131216405 is a wasteful number, since it uses less digits than its factorization.

131216405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 131216405 is about 11454.9729375499. The cubic root of 131216405 is about 508.1548149162.

Adding to 131216405 its reverse (504612131), we get a palindrome (635828536).

The spelling of 131216405 in words is "one hundred thirty-one million, two hundred sixteen thousand, four hundred five".

Divisors: 1 5 73 307 365 1171 1535 5855 22411 85483 112055 359497 427415 1797485 26243281 131216405