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131031330003222 = 231110170139280253
BaseRepresentation
bin11101110010110000011011…
…111000010001100100010110
3122011221110202200100210001120
4131302300123320101210112
5114133304130440100342
61142402543443104410
736412462336120665
oct3562603370214426
9564843680323046
10131031330003222
1138829090897270
12128428bb372106
13581628062736c
14244dd43540ddc
15102365b5a3aec
hex772c1be11916

131031330003222 has 64 divisors (see below), whose sum is σ = 288722244545280. Its totient is φ = 39312629552000.

The previous prime is 131031330003173. The next prime is 131031330003271. The reversal of 131031330003222 is 222300033130131.

It is an interprime number because it is at equal distance from previous prime (131031330003173) and next prime (131031330003271).

It is a junction number, because it is equal to n+sod(n) for n = 131031330003192 and 131031330003201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467406448 + ... + 467686700.

It is an arithmetic number, because the mean of its divisors is an integer number (4511285071020).

Almost surely, 2131031330003222 is an apocalyptic number.

131031330003222 is an abundant number, since it is smaller than the sum of its proper divisors (157690914542058).

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

131031330003222 is a wasteful number, since it uses less digits than its factorization.

131031330003222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350509.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 131031330003222 its reverse (222300033130131), we get a palindrome (353331363133353).

The spelling of 131031330003222 in words is "one hundred thirty-one trillion, thirty-one billion, three hundred thirty million, three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 3333 6666 70139 140278 210417 280253 420834 560506 771529 840759 1543058 1681518 2314587 3082783 4629174 6165566 7084039 9248349 14168078 18496698 21252117 28305553 42504234 56611106 77924429 84916659 155848858 169833318 233773287 311361083 467546574 622722166 934083249 1868166498 19656665167 39313330334 58969995501 117939991002 216223316837 432446633674 648669950511 1297339901022 1985323181867 3970646363734 5955969545601 11911939091202 21838555000537 43677110001074 65515665001611 131031330003222