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131020351 = 71123167443
BaseRepresentation
bin1111100111100…
…11011000111111
3100010112112010121
413303303120333
5232020122401
621000115411
73150440350
oct763633077
9303475117
10131020351
1167a59590
1237a65b67
13211b5047
1413587d27
15b780ca1
hex7cf363f

131020351 has 32 divisors (see below), whose sum is σ = 171859968. Its totient is φ = 96851040.

The previous prime is 131020301. The next prime is 131020369. The reversal of 131020351 is 153020131.

It is not a de Polignac number, because 131020351 - 225 = 97465919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131020301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295536 + ... + 295978.

It is an arithmetic number, because the mean of its divisors is an integer number (5370624).

Almost surely, 2131020351 is an apocalyptic number.

131020351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131020351 is a deficient number, since it is larger than the sum of its proper divisors (40839617).

131020351 is a wasteful number, since it uses less digits than its factorization.

131020351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 131020351 is about 11446.4121452969. The cubic root of 131020351 is about 507.9016061217.

Adding to 131020351 its reverse (153020131), we get a palindrome (284040482).

The spelling of 131020351 in words is "one hundred thirty-one million, twenty thousand, three hundred fifty-one".

Divisors: 1 7 11 23 77 161 167 253 443 1169 1771 1837 3101 3841 4873 10189 12859 26887 34111 42251 71323 73981 112079 295757 517867 784553 813791 1701563 5696537 11910941 18717193 131020351