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131034302212210 = 25173137649321949
BaseRepresentation
bin11101110010110011001101…
…000010010110100001110010
3122011221202102211002122021221
4131302303031002112201302
5114133331222331242320
61142404154415535254
736412626106355215
oct3562631502264162
9564852384078257
10131034302212210
113882a3765a5931
12128433aa82a52a
13581663532b1c7
14245014619177c
1510237824a83aa
hex772ccd096872

131034302212210 has 64 divisors (see below), whose sum is σ = 250567374780000. Its totient is φ = 49166373814272.

The previous prime is 131034302212207. The next prime is 131034302212213. The reversal of 131034302212210 is 12212203430131.

It is an interprime number because it is at equal distance from previous prime (131034302212207) and next prime (131034302212213).

It can be written as a sum of positive squares in 16 ways, for example, as 20662050049 + 131013640162161 = 143743^2 + 11446119^2 .

It is not an unprimeable number, because it can be changed into a prime (131034302212213) by changing a digit.

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, 406842316 + ... + 407164264.

Almost surely, 2131034302212210 is an apocalyptic number.

131034302212210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131034302212210 is a deficient number, since it is larger than the sum of its proper divisors (119533072567790).

131034302212210 is a wasteful number, since it uses less digits than its factorization.

131034302212210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329935.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 131034302212210 its reverse (12212203430131), we get a palindrome (143246505642341).

The spelling of 131034302212210 in words is "one hundred thirty-one trillion, thirty-four billion, three hundred two million, two hundred twelve thousand, two hundred ten".

Divisors: 1 2 5 10 17 34 85 170 313 626 1565 3130 5321 7649 10642 15298 26605 38245 53210 76490 130033 260066 321949 643898 650165 1300330 1609745 2394137 3219490 4788274 5473133 10946266 11970685 23941370 27365665 40700329 54731330 81400658 100770037 201540074 203501645 407003290 503850185 1007700370 1713090629 2462587901 3426181258 4925175802 8565453145 12312939505 17130906290 24625879010 41863994317 83727988634 209319971585 418639943170 770790013013 1541580026026 3853950065065 7707900130130 13103430221221 26206860442442 65517151106105 131034302212210