Search a number
-
+
212431121103032 = 231314913708771367
BaseRepresentation
bin110000010011010001111001…
…100000110011100010111000
31000212011012212002010100222022
4300103101321200303202320
5210320432414000244112
62031445302041014012
762513433133255046
oct6023217140634270
91025135762110868
10212431121103032
1161761594881907
121b9aa6a8784308
13916c226a11060
143a65a14a83396
151985c4ab35d72
hexc134798338b8

212431121103032 has 32 divisors (see below), whose sum is σ = 431826298092000. Its totient is φ = 97387111784064.

The previous prime is 212431121103023. The next prime is 212431121103119. The reversal of 212431121103032 is 230301121134212.

It is a super-3 number, since 3×2124311211030323 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 212431121102992 and 212431121103010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6854370188 + ... + 6854401179.

It is an arithmetic number, because the mean of its divisors is an integer number (13494571815375).

Almost surely, 2212431121103032 is an apocalyptic number.

It is an amenable number.

212431121103032 is an abundant number, since it is smaller than the sum of its proper divisors (219395176988968).

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

212431121103032 is a wasteful number, since it uses less digits than its factorization.

212431121103032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13708771535 (or 13708771531 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 212431121103032 its reverse (230301121134212), we get a palindrome (442732242237244).

The spelling of 212431121103032 in words is "two hundred twelve trillion, four hundred thirty-one billion, one hundred twenty-one million, one hundred three thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 104 149 298 596 1192 1937 3874 7748 15496 13708771367 27417542734 54835085468 109670170936 178214027771 356428055542 712856111084 1425712222168 2042606933683 4085213867366 8170427734732 16340855469464 26553890137879 53107780275758 106215560551516 212431121103032