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131030021031221 = 1324609734095629
BaseRepresentation
bin11101110010101111001101…
…110110111100010100110101
3122011221100101110022010001002
4131302233031312330110311
5114133243440340444341
61142402205523213045
736412415033052044
oct3562571566742465
9564840343263032
10131030021031221
1138828579a21224
12128425b4b17185
13581610239a710
14244dc5b76655b
1510235d16e029b
hex772bcddbc535

131030021031221 has 8 divisors (see below), whose sum is σ = 141109345210680. Its totient is φ = 120950709964992.

The previous prime is 131030021031211. The next prime is 131030021031229. The reversal of 131030021031221 is 122130120030131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1614142299121 + 129415878732100 = 1270489^2 + 11376110^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131030021031221 is a prime.

It is a super-2 number, since 2×1310300210312212 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131030021031193 and 131030021031202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131030021031229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29944835 + ... + 34040463.

It is an arithmetic number, because the mean of its divisors is an integer number (17638668151335).

Almost surely, 2131030021031221 is an apocalyptic number.

It is an amenable number.

131030021031221 is a deficient number, since it is larger than the sum of its proper divisors (10079324179459).

131030021031221 is a wasteful number, since it uses less digits than its factorization.

131030021031221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6556615.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131030021031221 its reverse (122130120030131), we get a palindrome (253160141061352).

The spelling of 131030021031221 in words is "one hundred thirty-one trillion, thirty billion, twenty-one million, thirty-one thousand, two hundred twenty-one".

Divisors: 1 13 2460973 4095629 31992649 53243177 10079232387017 131030021031221