Search a number
-
+
121201023421023 = 37131932643787011
BaseRepresentation
bin11011100011101101001111…
…111100101000101001011111
3120220010201000201020022122020
4123203231033330220221133
5111341224143443433043
61105434552000551223
734346325226626030
oct3343551774505137
9526121021208566
10121201023421023
113568907a0206a7
12117156a1622513
135282290a62140
1421d0237480a87
15e02ab40ebe83
hex6e3b4ff28a5f

121201023421023 has 64 divisors (see below), whose sum is σ = 199934386025472. Its totient is φ = 63595828961280.

The previous prime is 121201023420973. The next prime is 121201023421069. The reversal of 121201023421023 is 320124320102121.

It is not a de Polignac number, because 121201023421023 - 213 = 121201023412831 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121201023420984 and 121201023421002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121201023421123) 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 63 ways as a sum of consecutive naturals, for example, 1392895588 + ... + 1392982598.

It is an arithmetic number, because the mean of its divisors is an integer number (3123974781648).

Almost surely, 2121201023421023 is an apocalyptic number.

121201023421023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

121201023421023 is a deficient number, since it is larger than the sum of its proper divisors (78733362604449).

121201023421023 is a wasteful number, since it uses less digits than its factorization.

121201023421023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113664.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 121201023421023 its reverse (320124320102121), we get a palindrome (441325343523144).

The spelling of 121201023421023 in words is "one hundred twenty-one trillion, two hundred one billion, twenty-three million, four hundred twenty-one thousand, twenty-three".

Divisors: 1 3 7 13 21 39 91 193 273 579 1351 2509 4053 7527 17563 26437 52689 79311 87011 185059 261033 343681 555177 609077 1031043 1131143 1827231 2405767 3393429 5102341 7217301 7918001 15307023 16793123 23754003 35716387 50379369 66330433 107149161 117551861 198991299 218310599 352655583 464313031 654931797 1392939093 1528174193 2300309807 4584522579 6900929421 16102168649 29904027491 48306505947 89712082473 209328192437 443959792751 627984577311 1331879378253 3107718549257 5771477305763 9323155647771 17314431917289 40400341140341 121201023421023