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131000041 = 19371269
BaseRepresentation
bin1111100111011…
…10011011101001
3100010111111021101
413303232123221
5232014000131
620555441401
73150324214
oct763563351
9303444241
10131000041
1167a452a7
1237a56261
13211a8a23
141358077b
15b779c61
hex7cee6e9

131000041 has 16 divisors (see below), whose sum is σ = 140745600. Its totient is φ = 121902480.

The previous prime is 131000021. The next prime is 131000057. The reversal of 131000041 is 140000131.

It is a happy number.

It is not a de Polignac number, because 131000041 - 219 = 130475753 is a prime.

It is a super-2 number, since 2×1310000412 = 34322021484003362, 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 = 130999991 and 131000027.

It is not an unprimeable number, because it can be changed into a prime (131000021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486855 + ... + 487123.

It is an arithmetic number, because the mean of its divisors is an integer number (8796600).

Almost surely, 2131000041 is an apocalyptic number.

It is an amenable number.

131000041 is a deficient number, since it is larger than the sum of its proper divisors (9745559).

131000041 is an frugal number, since it uses more digits than its factorization.

131000041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 131000041 is about 11445.5249333528. The cubic root of 131000041 is about 507.8753607977.

Adding to 131000041 its reverse (140000131), we get a palindrome (271000172).

The spelling of 131000041 in words is "one hundred thirty-one million, forty-one", and thus it is an aban number.

Divisors: 1 19 71 269 361 1349 5111 6859 19099 25631 97109 362881 486989 1845071 6894739 131000041