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223231302110133 = 3337331367447859
BaseRepresentation
bin110010110000011100010110…
…011101110000101110110101
31002021101201000021002110212000
4302300130112131300232311
5213224410201320011013
62110435013334045513
765006633524156032
oct6260342635605665
91067351007073760
10223231302110133
116514595545a969
122105387b4a9899
139773810480325
143d1a64a1b4389
151ac1b59bc2973
hexcb0716770bb5

223231302110133 has 32 divisors (see below), whose sum is σ = 339753756220800. Its totient is φ = 144754974091008.

The previous prime is 223231302110101. The next prime is 223231302110143. The reversal of 223231302110133 is 331011203132322.

223231302110133 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 313 + 0 + 211 + 0 + 133 = 666.

It is not a de Polignac number, because 223231302110133 - 25 = 223231302110101 is a prime.

It is a super-3 number, since 3×2232313021101333 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 223231302110097 and 223231302110106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223231302110143) 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, 30414243 + ... + 37033616.

It is an arithmetic number, because the mean of its divisors is an integer number (10617304881900).

Almost surely, 2223231302110133 is an apocalyptic number.

It is an amenable number.

223231302110133 is a deficient number, since it is larger than the sum of its proper divisors (116522454110667).

223231302110133 is a wasteful number, since it uses less digits than its factorization.

223231302110133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67451218 (or 67451212 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 223231302110133 its reverse (331011203132322), we get a palindrome (554242505242455).

The spelling of 223231302110133 in words is "two hundred twenty-three trillion, two hundred thirty-one billion, three hundred two million, one hundred ten thousand, one hundred thirty-three".

Divisors: 1 3 9 27 37 111 333 999 3313 9939 29817 89451 122581 367743 1103229 3309687 67447859 202343577 607030731 1821092193 2495570783 7486712349 22460137047 67380411141 223454756867 670364270601 2011092811803 6033278435409 8267826004079 24803478012237 74410434036711 223231302110133