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2122424030310 = 23537101167113363
BaseRepresentation
bin11110111000101010010…
…101001001010001100110
321111220100101020221220220
4132320222111021101212
5234233211022432220
64303010024505210
7306224434410153
oct36705225112146
97456311227826
102122424030310
1174912a040841
122a340b61b206
131251b39cc0ac
1474a23b0d22a
153a320ba4540
hex1ee2a549466

2122424030310 has 128 divisors (see below), whose sum is σ = 5314968658944. Its totient is φ = 541961049600.

The previous prime is 2122424030303. The next prime is 2122424030333. The reversal of 2122424030310 is 130304242212.

It is a happy number.

It is a super-2 number, since 2×21224240303102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18665689 + ... + 18779051.

It is an arithmetic number, because the mean of its divisors is an integer number (41523192648).

Almost surely, 22122424030310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122424030310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657484329472).

2122424030310 is an abundant number, since it is smaller than the sum of its proper divisors (3192544628634).

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

2122424030310 is a wasteful number, since it uses less digits than its factorization.

2122424030310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113678.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2122424030310 its reverse (130304242212), we get a palindrome (2252728272522).

The spelling of 2122424030310 in words is "two trillion, one hundred twenty-two billion, four hundred twenty-four million, thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 101 111 167 185 202 222 303 334 370 501 505 555 606 835 1002 1010 1110 1515 1670 2505 3030 3737 5010 6179 7474 11211 12358 16867 18537 18685 22422 30895 33734 37074 37370 50601 56055 61790 84335 92685 101202 112110 113363 168670 185370 226726 253005 340089 506010 566815 624079 680178 1133630 1248158 1700445 1872237 3120395 3400890 3744474 4194431 6240790 8388862 9361185 11449663 12583293 18722370 18931621 20972155 22899326 25166586 34348989 37863242 41944310 56794863 57248315 62916465 68697978 94658105 113589726 114496630 125832930 171744945 189316210 283974315 343489890 423637531 567948630 700469977 847275062 1270912593 1400939954 1912093721 2101409931 2118187655 2541825186 3502349885 3824187442 4202819862 4236375310 5736281163 6354562965 7004699770 9560468605 10507049655 11472562326 12709125930 19120937210 21014099310 28681405815 57362811630 70747467677 141494935354 212242403031 353737338385 424484806062 707474676770 1061212015155 2122424030310