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131026077 = 327131571019
BaseRepresentation
bin1111100111101…
…00110010011101
3100010112210222200
413303310302131
5232020313302
621000202113
73150463140
oct763646235
9303483880
10131026077
1167a62916
1237a69339
13211b7830
141358a057
15b78281c
hex7cf4c9d

131026077 has 48 divisors (see below), whose sum is σ = 234648960. Its totient is φ = 68605056.

The previous prime is 131025977. The next prime is 131026087. The reversal of 131026077 is 770620131.

It is not a de Polignac number, because 131026077 - 211 = 131024029 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131026077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131026087) 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 47 ways as a sum of consecutive naturals, for example, 128074 + ... + 129092.

It is an arithmetic number, because the mean of its divisors is an integer number (4888520).

Almost surely, 2131026077 is an apocalyptic number.

It is an amenable number.

131026077 is a deficient number, since it is larger than the sum of its proper divisors (103622883).

131026077 is a wasteful number, since it uses less digits than its factorization.

131026077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 131026077 is about 11446.6622646080. The cubic root of 131026077 is about 507.9090049780.

The spelling of 131026077 in words is "one hundred thirty-one million, twenty-six thousand, seventy-seven".

Divisors: 1 3 7 9 13 21 39 63 91 117 157 273 471 819 1019 1099 1413 2041 3057 3297 6123 7133 9171 9891 13247 14287 18369 21399 39741 42861 64197 92729 119223 128583 159983 278187 479949 834561 1119881 1439847 2079779 3359643 6239337 10078929 14558453 18718011 43675359 131026077