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131001220322 = 27109433198259
BaseRepresentation
bin111101000000001000…
…1111111110011100010
3110112010200220111200222
41322000101333303202
54121242303022242
6140103042443042
712315222000020
oct1720021776342
9415120814628
10131001220322
1150614856845
1221480063482
13c47944b2ab
1464aa453710
15361abd65d2
hex1e8047fce2

131001220322 has 32 divisors (see below), whose sum is σ = 227158377600. Its totient is φ = 55499551488.

The previous prime is 131001220321. The next prime is 131001220391. The reversal of 131001220322 is 223022100131.

131001220322 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1310012203223 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 131001220322.

It is not an unprimeable number, because it can be changed into a prime (131001220321) 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 15 ways as a sum of consecutive naturals, for example, 561629 + ... + 759887.

It is an arithmetic number, because the mean of its divisors is an integer number (7098699300).

Almost surely, 2131001220322 is an apocalyptic number.

131001220322 is a deficient number, since it is larger than the sum of its proper divisors (96157157278).

131001220322 is a wasteful number, since it uses less digits than its factorization.

131001220322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198810.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 131001220322 its reverse (223022100131), we get a palindrome (354023320453).

The spelling of 131001220322 in words is "one hundred thirty-one billion, one million, two hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 7 14 109 218 433 763 866 1526 3031 6062 47197 94394 198259 330379 396518 660758 1387813 2775626 21610231 43220462 85846147 151271617 171692294 302543234 600923029 1201846058 9357230023 18714460046 65500610161 131001220322