Search a number
-
+
13121011014030 = 233548596337089
BaseRepresentation
bin1011111011101111100100…
…1100110101100110001110
31201110100121211001222022000
42332323321030311212032
53204433312304422110
643523413110333130
72522650612266513
oct276737114654616
951410554058260
1013121011014030
1141a96537206a7
12157ab3405a1a6
137423c9467c2a
143350bb74530a
1517b4932971c0
hexbeef933598e

13121011014030 has 32 divisors (see below), whose sum is σ = 34989362704800. Its totient is φ = 3498936270336.

The previous prime is 13121011013983. The next prime is 13121011014037. The reversal of 13121011014030 is 3041011012131.

It is a happy number.

13121011014030 is a `hidden beast` number, since 131 + 21 + 0 + 110 + 1 + 403 + 0 = 666.

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 = 13121011013994 and 13121011014012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121011014037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24298168275 + ... + 24298168814.

It is an arithmetic number, because the mean of its divisors is an integer number (1093417584525).

Almost surely, 213121011014030 is an apocalyptic number.

13121011014030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13121011014030 is an abundant number, since it is smaller than the sum of its proper divisors (21868351690770).

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

13121011014030 is a wasteful number, since it uses less digits than its factorization.

13121011014030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48596337105 (or 48596337099 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13121011014030 its reverse (3041011012131), we get a palindrome (16162022026161).

The spelling of 13121011014030 in words is "thirteen trillion, one hundred twenty-one billion, eleven million, fourteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 48596337089 97192674178 145789011267 242981685445 291578022534 437367033801 485963370890 728945056335 874734067602 1312101101403 1457890112670 2186835169005 2624202202806 4373670338010 6560505507015 13121011014030