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2113324314030 = 234559401911003
BaseRepresentation
bin11110110000001011111…
…100011110110110101110
321111000212012112110220000
4132300023330132312232
5234111042011022110
64254503042205130
7305453101165116
oct36601374366656
97430765473800
102113324314030
1174528a532266
122a16b00537a6
131243936a74a7
14743dd37c046
1539e8bd7c1c0
hex1ec0bf1edae

2113324314030 has 160 divisors (see below), whose sum is σ = 5780770934400. Its totient is φ = 553813219008.

The previous prime is 2113324314007. The next prime is 2113324314071. The reversal of 2113324314030 is 304134233112.

It is a happy number.

2113324314030 is a `hidden beast` number, since 2 + 1 + 13 + 3 + 243 + 1 + 403 + 0 = 666.

It is a super-2 number, since 2×21133243140302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2113324313985 and 2113324314003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 192062509 + ... + 192073511.

It is an arithmetic number, because the mean of its divisors is an integer number (36129818340).

Almost surely, 22113324314030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113324314030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890385467200).

2113324314030 is an abundant number, since it is smaller than the sum of its proper divisors (3667446620370).

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

2113324314030 is a wasteful number, since it uses less digits than its factorization.

2113324314030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15100 (or 15091 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2113324314030 its reverse (304134233112), we get a palindrome (2417458547142).

The spelling of 2113324314030 in words is "two trillion, one hundred thirteen billion, three hundred twenty-four million, three hundred fourteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 81 90 118 135 162 177 270 295 354 405 531 590 810 885 1062 1593 1770 2655 3186 4019 4779 5310 7965 8038 9558 11003 12057 15930 20095 22006 23895 24114 33009 36171 40190 47790 55015 60285 66018 72342 99027 108513 110030 120570 165045 180855 198054 217026 237121 297081 325539 330090 361710 474242 495135 542565 594162 649177 651078 711363 891243 990270 1085130 1185605 1298354 1422726 1485405 1627695 1782486 1947531 2134089 2371210 2970810 3245885 3255390 3556815 3895062 4268178 4456215 5842593 6402267 6491770 7113630 8912430 9737655 10670445 11685186 12804534 17527779 19206801 19475310 21340890 29212965 32011335 35055558 38413602 44221057 52583337 58425930 64022670 87638895 88442114 96034005 105166674 132663171 175277790 192068010 221105285 262916685 265326342 397989513 442210570 525833370 663315855 795979026 1193968539 1326631710 1989947565 2387937078 2609042363 3581905617 3979895130 5218084726 5969842695 7163811234 7827127089 11939685390 13045211815 15654254178 17909528085 23481381267 26090423630 35819056170 39135635445 46962762534 70444143801 78271270890 117406906335 140888287602 211332431403 234813812670 352220719005 422664862806 704441438010 1056662157015 2113324314030