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1341210114222 = 2311377946714887
BaseRepresentation
bin10011100001000110010…
…110100011100010101110
311202012220020110011100220
4103201012112203202232
5133433244242123342
62504050551232210
7165620302604106
oct23410626434256
94665806404326
101341210114222
11477893164a30
12197b28678666
1399624aa2a04
1448cb475a206
1524d4bc945ec
hex138465a38ae

1341210114222 has 128 divisors (see below), whose sum is σ = 3050129571840. Its totient is φ = 389574956160.

The previous prime is 1341210114199. The next prime is 1341210114311. The reversal of 1341210114222 is 2224110121431.

It is a junction number, because it is equal to n+sod(n) for n = 1341210114192 and 1341210114201.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 90085263 + ... + 90100149.

It is an arithmetic number, because the mean of its divisors is an integer number (23829137280).

Almost surely, 21341210114222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1341210114222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525064785920).

1341210114222 is an abundant number, since it is smaller than the sum of its proper divisors (1708919457618).

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

1341210114222 is a wasteful number, since it uses less digits than its factorization.

1341210114222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15486.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1341210114222 its reverse (2224110121431), we get a palindrome (3565320235653).

The spelling of 1341210114222 in words is "one trillion, three hundred forty-one billion, two hundred ten million, one hundred fourteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 79 111 158 222 237 407 467 474 814 869 934 1221 1401 1738 2442 2607 2802 2923 5137 5214 5846 8769 10274 14887 15411 17279 17538 29774 30822 32153 34558 36893 44661 51837 64306 73786 89322 96459 103674 110679 163757 190069 192918 221358 327514 380138 405823 491271 550819 570207 811646 982542 1101638 1140414 1176073 1217469 1365041 1652457 2352146 2434938 2730082 3304914 3528219 4095123 6059009 6952229 7056438 8190246 12118018 12936803 13904458 15015451 18177027 20856687 25873606 30030902 36354054 38810409 41713374 43514701 45046353 76474519 77620818 87029402 90092706 130544103 152949038 229423557 257232473 261088206 458847114 478661711 514464946 549226091 771697419 957323422 1098452182 1435985133 1543394838 1647678273 2829557203 2871970266 3295356546 5659114406 6041487001 8488671609 12082974002 16977343218 18124461003 20321365367 36248922006 40642730734 60964096101 121928192202 223535019037 447070038074 670605057111 1341210114222