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131377101 = 33113910163
BaseRepresentation
bin1111101010010…
…10011111001101
3100011012122111120
413311022133031
5232113031401
621011511153
73153454422
oct765123715
9304178446
10131377101
1168182619
1237bb84b9
13212ab53b
141363bd49
15b801836
hex7d4a7cd

131377101 has 16 divisors (see below), whose sum is σ = 182138880. Its totient is φ = 84141360.

The previous prime is 131377073. The next prime is 131377111. The reversal of 131377101 is 101773131.

It is not a de Polignac number, because 131377101 - 215 = 131344333 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131377111) 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, 7846 + ... + 18008.

It is an arithmetic number, because the mean of its divisors is an integer number (11383680).

Almost surely, 2131377101 is an apocalyptic number.

It is an amenable number.

131377101 is a deficient number, since it is larger than the sum of its proper divisors (50761779).

131377101 is a wasteful number, since it uses less digits than its factorization.

131377101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10336.

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 131377101 is about 11461.9850375055. The cubic root of 131377101 is about 508.3621699190.

The spelling of 131377101 in words is "one hundred thirty-one million, three hundred seventy-seven thousand, one hundred one".

Divisors: 1 3 31 93 139 417 4309 10163 12927 30489 315053 945159 1412657 4237971 43792367 131377101