Search a number
-
+
1323211225014 = 2327331308910271
BaseRepresentation
bin10011010000010101100…
…010001111011110110110
311200111102212100212001200
4103100111202033132312
5133134414033200024
62451512544433330
7164412256556340
oct23202542173666
94614385325050
101323211225014
11470197271088
12194544918846
1397a16b70c03
144808813c290
1524646a5a2c9
hex1341588f7b6

1323211225014 has 96 divisors (see below), whose sum is σ = 3287805880320. Its totient is φ = 376759468800.

The previous prime is 1323211224997. The next prime is 1323211225027. The reversal of 1323211225014 is 4105221123231.

It is a happy number.

1323211225014 is a `hidden beast` number, since 1 + 3 + 2 + 32 + 1 + 122 + 501 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128824699 + ... + 128834969.

It is an arithmetic number, because the mean of its divisors is an integer number (34247977920).

Almost surely, 21323211225014 is an apocalyptic number.

1323211225014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1323211225014 is an abundant number, since it is smaller than the sum of its proper divisors (1964594655306).

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

1323211225014 is a wasteful number, since it uses less digits than its factorization.

1323211225014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13706 (or 13703 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1323211225014 its reverse (4105221123231), we get a palindrome (5428432348245).

The spelling of 1323211225014 in words is "one trillion, three hundred twenty-three billion, two hundred eleven million, two hundred twenty-five thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 331 662 993 1986 2317 2979 3089 4634 5958 6178 6951 9267 10271 13902 18534 20542 20853 21623 27801 30813 41706 43246 55602 61626 64869 71897 92439 129738 143794 184878 194607 215691 389214 431382 647073 1022459 1294146 2044918 3067377 3399701 6134754 6799402 7157213 9202131 10199103 14314426 18404262 20398206 21471639 23797907 30597309 31727119 42943278 47595814 61194618 63454238 64414917 71393721 95181357 128829834 142787442 190362714 214181163 222089833 285544071 428362326 444179666 571088142 666269499 1332538998 1998808497 3997616994 10501676389 21003352778 31505029167 63010058334 73511734723 94515087501 147023469446 189030175002 220535204169 441070408338 661605612507 1323211225014