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105334223412 = 223112233154097
BaseRepresentation
bin110001000011001101…
…0001011001000110100
3101001212220220222010210
41202012122023020310
53211211030122122
6120220113545420
710416165061155
oct1420632131064
9331786828123
10105334223412
1140743472100
12184b8275270
139c1898c562
14515368392c
152b176b040c
hex188668b234

105334223412 has 72 divisors (see below), whose sum is σ = 281900662848. Its totient is φ = 30531649280.

The previous prime is 105334223399. The next prime is 105334223437. The reversal of 105334223412 is 214322433501.

It is a super-2 number, since 2×1053342234122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105334223412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1543653 + ... + 1610444.

It is an arithmetic number, because the mean of its divisors is an integer number (3915286984).

Almost surely, 2105334223412 is an apocalyptic number.

105334223412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105334223412 is an abundant number, since it is smaller than the sum of its proper divisors (176566439436).

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

105334223412 is a wasteful number, since it uses less digits than its factorization.

105334223412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154149 (or 3154136 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 105334223412 its reverse (214322433501), we get a palindrome (319656656913).

The spelling of 105334223412 in words is "one hundred five billion, three hundred thirty-four million, two hundred twenty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 121 132 138 242 253 276 363 484 506 726 759 1012 1452 1518 2783 3036 5566 8349 11132 16698 33396 3154097 6308194 9462291 12616388 18924582 34695067 37849164 69390134 72544231 104085201 138780268 145088462 208170402 217632693 290176924 381645737 416340804 435265386 763291474 797986541 870530772 1144937211 1526582948 1595973082 2289874422 2393959623 3191946164 4579748844 4787919246 8777851951 9575838492 17555703902 26333555853 35111407804 52667111706 105334223412