Search a number
-
+
13010012232012 = 22327317328615823
BaseRepresentation
bin1011110101010010000100…
…1010000101100101001100
31201001202010010021121120100
42331110201022011211030
53201124001112411022
643400414521251100
72511641142230235
oct275244112054514
951052103247510
1013010012232012
114166573809904
121561516933a90
13734aba069363
1432d98ba5008c
1517864865e1ac
hexbd52128594c

13010012232012 has 72 divisors (see below), whose sum is σ = 33529618833984. Its totient is φ = 4252540075776.

The previous prime is 13010012231987. The next prime is 13010012232013. The reversal of 13010012232012 is 21023221001031.

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

It is not an unprimeable number, because it can be changed into a prime (13010012232013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13853268 + ... + 14762555.

It is an arithmetic number, because the mean of its divisors is an integer number (465689150472).

Almost surely, 213010012232012 is an apocalyptic number.

13010012232012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13010012232012 is an abundant number, since it is smaller than the sum of its proper divisors (20519606601972).

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

13010012232012 is a wasteful number, since it uses less digits than its factorization.

13010012232012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28616079 (or 28616074 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13010012232012 its reverse (21023221001031), we get a palindrome (34033233233043).

The spelling of 13010012232012 in words is "thirteen trillion, ten billion, twelve million, two hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 173 219 292 346 438 519 657 692 876 1038 1314 1557 2076 2628 3114 6228 12629 25258 37887 50516 75774 113661 151548 227322 454644 28615823 57231646 85847469 114463292 171694938 257542407 343389876 515084814 1030169628 2088955079 4177910158 4950537379 6266865237 8355820316 9901074758 12533730474 14851612137 18800595711 19802149516 25067460948 29703224274 37601191422 44554836411 59406448548 75202382844 89109672822 178219345644 361389228667 722778457334 1084167686001 1445556914668 2168335372002 3252503058003 4336670744004 6505006116006 13010012232012