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223013362605137 = 13110931546459393
BaseRepresentation
bin110010101101010001011000…
…010000100001110001010001
31002020121212110200110111212122
4302231101120100201301101
5213212322331311331022
62110150531402104025
764655120011015136
oct6255213020416121
91066555420414778
10223013362605137
1165071488276085
1221019597aab015
1397590ba621c50
143d0dc9373258d
151abb151844742
hexcad458421c51

223013362605137 has 8 divisors (see below), whose sum is σ = 240189887238504. Its totient is φ = 205839930912768.

The previous prime is 223013362605107. The next prime is 223013362605179. The reversal of 223013362605137 is 731506263310322.

It can be written as a sum of positive squares in 4 ways, for example, as 12143001671761 + 210870360933376 = 3484681^2 + 14521376^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 223013362605137 - 210 = 223013362604113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223013362605107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 773085488 + ... + 773373905.

It is an arithmetic number, because the mean of its divisors is an integer number (30023735904813).

Almost surely, 2223013362605137 is an apocalyptic number.

It is an amenable number.

223013362605137 is a deficient number, since it is larger than the sum of its proper divisors (17176524633367).

223013362605137 is a wasteful number, since it uses less digits than its factorization.

223013362605137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546470499.

The product of its (nonzero) digits is 816480, while the sum is 44.

The spelling of 223013362605137 in words is "two hundred twenty-three trillion, thirteen billion, three hundred sixty-two million, six hundred five thousand, one hundred thirty-seven".

Divisors: 1 13 11093 144209 1546459393 20103972109 17154874046549 223013362605137