Search a number
-
+
12103142222310 = 2351014578740561
BaseRepresentation
bin1011000000011111101101…
…1111100010100111100110
31120212001022210100212201020
42300013323133202213212
53041244213402103220
641424035021512010
72356265101311006
oct260077337424746
946761283325636
1012103142222310
113946a06290047
121435805a12606
1369a4241bb569
142dbb1c0a8006
1515ec6ce44040
hexb01fb7e29e6

12103142222310 has 64 divisors (see below), whose sum is σ = 29399334796224. Its totient is φ = 3188556288000.

The previous prime is 12103142222221. The next prime is 12103142222317. The reversal of 12103142222310 is 1322224130121.

It is a super-2 number, since 2×121031422223102 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103142222317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2985571 + ... + 5754990.

It is an arithmetic number, because the mean of its divisors is an integer number (459364606191).

Almost surely, 212103142222310 is an apocalyptic number.

12103142222310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12103142222310 is an abundant number, since it is smaller than the sum of its proper divisors (17296192573914).

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

12103142222310 is a wasteful number, since it uses less digits than its factorization.

12103142222310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8741129.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12103142222310 its reverse (1322224130121), we get a palindrome (13425366352431).

The spelling of 12103142222310 in words is "twelve trillion, one hundred three billion, one hundred forty-two million, two hundred twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 101 202 303 457 505 606 914 1010 1371 1515 2285 2742 3030 4570 6855 13710 46157 92314 138471 230785 276942 461570 692355 1384710 8740561 17481122 26221683 43702805 52443366 87405610 131108415 262216830 882796661 1765593322 2648389983 3994436377 4413983305 5296779966 7988872754 8827966610 11983309131 13241949915 19972181885 23966618262 26483899830 39944363770 59916545655 119833091310 403438074077 806876148154 1210314222231 2017190370385 2420628444462 4034380740770 6051571111155 12103142222310