Search a number
-
+
12306355101306 = 2337151215605927
BaseRepresentation
bin1011001100010100101111…
…1011001001111001111010
31121120110212001020201122000
42303011023323021321322
53103111403401220211
642101243403041430
72410050644265120
oct263051373117172
947513761221560
1012306355101306
113a151066a0842
121469079510276
136b363b038366
143078b8b67910
151651b34ac656
hexb314bec9e7a

12306355101306 has 64 divisors (see below), whose sum is σ = 31461217013760. Its totient is φ = 3492816001200.

The previous prime is 12306355101259. The next prime is 12306355101347. The reversal of 12306355101306 is 60310155360321.

12306355101306 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 6 + 3 + 5 + 510 + 130 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107745886 + ... + 107860041.

It is an arithmetic number, because the mean of its divisors is an integer number (491581515840).

Almost surely, 212306355101306 is an apocalyptic number.

12306355101306 is an abundant number, since it is smaller than the sum of its proper divisors (19154861912454).

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

12306355101306 is a wasteful number, since it uses less digits than its factorization.

12306355101306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215606096 (or 215606090 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 12306355101306 in words is "twelve trillion, three hundred six billion, three hundred fifty-five million, one hundred one thousand, three hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 151 189 302 378 453 906 1057 1359 2114 2718 3171 4077 6342 8154 9513 19026 28539 57078 215605927 431211854 646817781 1293635562 1509241489 1940453343 3018482978 3880906686 4527724467 5821360029 9055448934 11642720058 13583173401 27166346802 32556494977 40749520203 65112989954 81499040406 97669484931 195338969862 227895464839 293008454793 455790929678 586016909586 683686394517 879025364379 1367372789034 1758050728758 2051059183551 4102118367102 6153177550653 12306355101306