Search a number
-
+
223112213113101 = 313101169933338341
BaseRepresentation
bin110010101110101101011100…
…001101010010100100001101
31002020222022121202010121111020
4302232231130031102210031
5213220432303024104401
62110304200303344353
764665216426326664
oct6256553415224415
91066868552117436
10223112213113101
11650aa3a3862864
12210347848b20b9
139765511c42890
143d1498dc4dddb
151abd9d9bbdd36
hexcaeb5c35290d

223112213113101 has 32 divisors (see below), whose sum is σ = 323728636156800. Its totient is φ = 135860403168000.

The previous prime is 223112213112989. The next prime is 223112213113189. The reversal of 223112213113101 is 101311312211322.

223112213113101 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 223112213113101 - 227 = 223112078895373 is a prime.

It is a super-3 number, since 3×2231122131131013 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223112213153101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9976810 + ... + 23361531.

It is an arithmetic number, because the mean of its divisors is an integer number (10116519879900).

Almost surely, 2223112213113101 is an apocalyptic number.

It is an amenable number.

223112213113101 is a deficient number, since it is larger than the sum of its proper divisors (100616423043699).

223112213113101 is a wasteful number, since it uses less digits than its factorization.

223112213113101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33340157.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 223112213113101 its reverse (101311312211322), we get a palindrome (324423525324423).

The spelling of 223112213113101 in words is "two hundred twenty-three trillion, one hundred twelve billion, two hundred thirteen million, one hundred thirteen thousand, one hundred one".

Divisors: 1 3 13 39 101 303 1313 1699 3939 5097 22087 66261 171599 514797 2230787 6692361 33338341 100015023 433398433 1300195299 3367172441 10101517323 43773241733 56641841359 131319725199 169925524077 736343937667 2209031813001 5720825977259 17162477931777 74370737704367 223112213113101