Search a number
-
+
13305000136356 = 2233757162740351
BaseRepresentation
bin1100000110011100111111…
…0011101000111010100100
31202002221112100001210122000
43001213033303220322210
53220442120013330411
644144122132005300
72542153210110045
oct301471763507244
952087470053560
1013305000136356
11426a689797495
1215aa721760830
1375686b692996
1433dd732628cc
15181160cc7956
hexc19cfce8ea4

13305000136356 has 48 divisors (see below), whose sum is σ = 34540012308480. Its totient is φ = 4429141365600.

The previous prime is 13305000136343. The next prime is 13305000136487. The reversal of 13305000136356 is 65363100050331.

13305000136356 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 5 + 0 + 0 + 0 + 13 + 635 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13305000136356.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81288420 + ... + 81451931.

It is an arithmetic number, because the mean of its divisors is an integer number (719583589760).

Almost surely, 213305000136356 is an apocalyptic number.

It is an amenable number.

13305000136356 is an abundant number, since it is smaller than the sum of its proper divisors (21235012172124).

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

13305000136356 is a wasteful number, since it uses less digits than its factorization.

13305000136356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162741121 (or 162741113 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

Adding to 13305000136356 its reverse (65363100050331), we get a palindrome (78668100186687).

The spelling of 13305000136356 in words is "thirteen trillion, three hundred five billion, one hundred thirty-six thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 757 1514 2271 3028 4542 6813 9084 13626 20439 27252 40878 81756 162740351 325480702 488221053 650961404 976442106 1464663159 1952884212 2929326318 4393989477 5858652636 8787978954 17575957908 123194445707 246388891414 369583337121 492777782828 739166674242 1108750011363 1478333348484 2217500022726 3326250034089 4435000045452 6652500068178 13305000136356