Search a number
-
+
13121030111121 = 3219911597631723
BaseRepresentation
bin1011111011101111101001…
…0101101011111110010001
31201110100200011000012120200
42332323322111223332101
53204433332202023441
643523415031525413
72522651233515252
oct276737225537621
951410604005520
1013121030111121
1141a9663484619
12157ab3a529869
137424003c339a
143350c00b6b29
1517b494cba7b6
hexbeefa56bf91

13121030111121 has 24 divisors (see below), whose sum is σ = 19049510875200. Its totient is φ = 8702632594656.

The previous prime is 13121030111099. The next prime is 13121030111179. The reversal of 13121030111121 is 12111103012131.

13121030111121 is a `hidden beast` number, since 1 + 31 + 210 + 301 + 1 + 1 + 121 = 666.

It is not a de Polignac number, because 13121030111121 - 211 = 13121030109073 is a prime.

It is a super-2 number, since 2×131210301111212 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13121030111094 and 13121030111103.

It is not an unprimeable number, because it can be changed into a prime (13121030110121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20454366 + ... + 21086088.

It is an arithmetic number, because the mean of its divisors is an integer number (793729619800).

Almost surely, 213121030111121 is an apocalyptic number.

It is an amenable number.

13121030111121 is a deficient number, since it is larger than the sum of its proper divisors (5928480764079).

13121030111121 is a wasteful number, since it uses less digits than its factorization.

13121030111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643525 (or 643522 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 13121030111121 its reverse (12111103012131), we get a palindrome (25232133123252).

The spelling of 13121030111121 in words is "thirteen trillion, one hundred twenty-one billion, thirty million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 199 597 1791 11597 34791 104373 631723 1895169 2307803 5685507 6923409 20770227 125712877 377138631 1131415893 7326091631 21978274893 65934824679 1457892234569 4373676703707 13121030111121