Search a number
-
+
223330001322213 = 321271671169995973
BaseRepresentation
bin110010110001111000010001…
…011001011000000011100101
31002021202010202210001221112100
4302301320101121120003211
5213233014320314302323
62110552215232442313
765020026424502652
oct6261702131300345
91067663683057470
10223330001322213
11651837a35aa825
122106aa256a9399
13977cc0c63a276
143d2133058ac29
151ac44d4b13943
hexcb1e116580e5

223330001322213 has 24 divisors (see below), whose sum is σ = 327074714523648. Its totient is φ = 146829814502112.

The previous prime is 223330001322101. The next prime is 223330001322229. The reversal of 223330001322213 is 312223100033322.

223330001322213 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 300 + 0 + 132 + 221 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-223330001322213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223330001322283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 584807106 + ... + 585188867.

It is an arithmetic number, because the mean of its divisors is an integer number (13628113105152).

Almost surely, 2223330001322213 is an apocalyptic number.

It is an amenable number.

223330001322213 is a deficient number, since it is larger than the sum of its proper divisors (103744713201435).

223330001322213 is a wasteful number, since it uses less digits than its factorization.

223330001322213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169996273 (or 1169996270 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 223330001322213 its reverse (312223100033322), we get a palindrome (535553101355535).

The spelling of 223330001322213 in words is "two hundred twenty-three trillion, three hundred thirty billion, one million, three hundred twenty-two thousand, two hundred thirteen".

Divisors: 1 3 9 127 167 381 501 1143 1503 21209 63627 190881 1169995973 3509987919 10529963757 148589488571 195389327491 445768465713 586167982473 1337305397139 1758503947419 24814444591357 74443333774071 223330001322213