Search a number
-
+
121313013233023 = 19379712109146917
BaseRepresentation
bin11011100101010101100011…
…000011110111010101111111
3120220112102002110211012221001
4123211111203003313111333
5111400043022341424043
61110002232351151131
734360401362416453
oct3345254303672577
9526472073735831
10121313013233023
1135721618389a37
12117333368154a7
13528c9ca57a0a1
1421d581ca2a663
15e0596ac4374d
hex6e55630f757f

121313013233023 has 32 divisors (see below), whose sum is σ = 132513101470400. Its totient is φ = 110659256193024.

The previous prime is 121313013233021. The next prime is 121313013233039. The reversal of 121313013233023 is 320332310313121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 121313013233023 - 21 = 121313013233021 is a prime.

It is a super-2 number, since 2×1213130132330232 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121313013232982 and 121313013233000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121313013233021) 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 31 ways as a sum of consecutive naturals, for example, 825651361 + ... + 825798277.

It is an arithmetic number, because the mean of its divisors is an integer number (4141034420950).

Almost surely, 2121313013233023 is an apocalyptic number.

121313013233023 is a deficient number, since it is larger than the sum of its proper divisors (11200088237377).

121313013233023 is a wasteful number, since it uses less digits than its factorization.

121313013233023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159179.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 121313013233023 its reverse (320332310313121), we get a palindrome (441645323546144).

The spelling of 121313013233023 in words is "one hundred twenty-one trillion, three hundred thirteen billion, thirteen million, two hundred thirty-three thousand, twenty-three".

Divisors: 1 19 37 97 703 1843 3589 12109 68191 146917 230071 448033 1174573 2791423 5435929 8512627 14250949 22316887 43459201 103282651 270768031 527285113 825724819 1779017953 10018417147 33801341107 65823664261 172564741441 1250649620959 3278730087379 6384895433317 121313013233023