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131107064 = 23114731699
BaseRepresentation
bin1111101000010…
…00100011111000
3100010200221002012
413310020203320
5232030411224
621002025052
73151251224
oct764104370
9303627065
10131107064
1168008750
1237aa8188
132121565a
14135ab784
15b79b80e
hex7d088f8

131107064 has 32 divisors (see below), whose sum is σ = 273888000. Its totient is φ = 58324320.

The previous prime is 131107063. The next prime is 131107073. The reversal of 131107064 is 460701131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131107063) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11714 + ... + 19985.

It is an arithmetic number, because the mean of its divisors is an integer number (8559000).

Almost surely, 2131107064 is an apocalyptic number.

It is an amenable number.

131107064 is an abundant number, since it is smaller than the sum of its proper divisors (142780936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131107064 is a wasteful number, since it uses less digits than its factorization.

131107064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31763 (or 31759 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 131107064 is about 11450.1992995755. The cubic root of 131107064 is about 508.0136293283.

Adding to 131107064 its reverse (460701131), we get a palindrome (591808195).

The spelling of 131107064 in words is "one hundred thirty-one million, one hundred seven thousand, sixty-four".

Divisors: 1 2 4 8 11 22 44 47 88 94 188 376 517 1034 2068 4136 31699 63398 126796 253592 348689 697378 1394756 1489853 2789512 2979706 5959412 11918824 16388383 32776766 65553532 131107064