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131031332010 = 23251455903689
BaseRepresentation
bin111101000001000010…
…0110111010010101010
3110112012210120100011200
41322002010313102222
54121323010111020
6140110040105030
712316035642135
oct1720204672252
9415183510150
10131031332010
115062a853137
122148a165176
13c482762067
1464b045121c
15361d683590
hex1e821374aa

131031332010 has 24 divisors (see below), whose sum is σ = 340681463460. Its totient is φ = 34941688512.

The previous prime is 131031332009. The next prime is 131031332011. The reversal of 131031332010 is 10233130131.

It is a happy number.

131031332010 is a `hidden beast` number, since 1 + 31 + 0 + 313 + 320 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (131031332009) and next prime (131031332011).

It can be written as a sum of positive squares in 2 ways, for example, as 114431328729 + 16600003281 = 338277^2 + 128841^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131031332011) 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 11 ways as a sum of consecutive naturals, for example, 727951755 + ... + 727951934.

Almost surely, 2131031332010 is an apocalyptic number.

131031332010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131031332010 is an abundant number, since it is smaller than the sum of its proper divisors (209650131450).

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

131031332010 is a wasteful number, since it uses less digits than its factorization.

131031332010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455903702 (or 1455903699 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 131031332010 its reverse (10233130131), we get a palindrome (141264462141).

The spelling of 131031332010 in words is "one hundred thirty-one billion, thirty-one million, three hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1455903689 2911807378 4367711067 7279518445 8735422134 13103133201 14559036890 21838555335 26206266402 43677110670 65515666005 131031332010