Search a number
-
+
12300130100322 = 2331949092442133
BaseRepresentation
bin1011001011111101100011…
…1000101010010001100010
31121112212210012210220122000
42302333120320222101202
53103011131301202242
642054333551424430
72406440455534161
oct262773070522142
947485705726560
1012300130100322
113a12501861429
121467a20825116
136b2b8847081c
143074881093d8
15164e4bc2ca4c
hexb2fd8e2a462

12300130100322 has 64 divisors (see below), whose sum is σ = 28778107056000. Its totient is φ = 3883458769344.

The previous prime is 12300130100281. The next prime is 12300130100327. The reversal of 12300130100322 is 22300103100321.

12300130100322 is a `hidden beast` number, since 1 + 2 + 300 + 1 + 30 + 10 + 0 + 322 = 666.

12300130100322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12300130100295 and 12300130100304.

It is not an unprimeable number, because it can be changed into a prime (12300130100327) 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, 3815568 + ... + 6257700.

It is an arithmetic number, because the mean of its divisors is an integer number (449657922750).

Almost surely, 212300130100322 is an apocalyptic number.

12300130100322 is an abundant number, since it is smaller than the sum of its proper divisors (16477976955678).

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

12300130100322 is a wasteful number, since it uses less digits than its factorization.

12300130100322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447072 (or 2447066 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12300130100322 its reverse (22300103100321), we get a palindrome (34600233200643).

The spelling of 12300130100322 in words is "twelve trillion, three hundred billion, one hundred thirty million, one hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 1026 4909 9818 14727 29454 44181 88362 93271 132543 186542 265086 279813 559626 839439 1678878 2442133 2518317 4884266 5036634 7326399 14652798 21979197 43958394 46400527 65937591 92801054 131875182 139201581 278403162 417604743 835209486 1252814229 2505628458 11988430897 23976861794 35965292691 71930585382 107895878073 215791756146 227780187043 323687634219 455560374086 647375268438 683340561129 1366681122258 2050021683387 4100043366774 6150065050161 12300130100322