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223112310223033 = 71123676411119737
BaseRepresentation
bin110010101110101101100001…
…111111101111000010111001
31002020222022212111212022021101
4302232231201333233002321
5213220433002404114113
62110304214053011401
764665222015624220
oct6256554177570271
91066868774768241
10223112310223033
11650aa44365aa00
12210347b1323b61
1397655290b3a8a
143d1499cacbcb7
151abd9e34a22dd
hexcaeb61fef0b9

223112310223033 has 48 divisors (see below), whose sum is σ = 281475689467392. Its totient is φ = 173109394022400.

The previous prime is 223112310222899. The next prime is 223112310223039. The reversal of 223112310223033 is 330322013211322.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-223112310223033 is a prime.

It is a super-3 number, since 3×2231123102230333 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223112310222992 and 223112310223010.

It is not an unprimeable number, because it can be changed into a prime (223112310223039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198694341 + ... + 199814077.

It is an arithmetic number, because the mean of its divisors is an integer number (5864076863904).

Almost surely, 2223112310223033 is an apocalyptic number.

It is an amenable number.

223112310223033 is a deficient number, since it is larger than the sum of its proper divisors (58363379244359).

223112310223033 is a wasteful number, since it uses less digits than its factorization.

223112310223033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120774 (or 1120763 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 223112310223033 its reverse (330322013211322), we get a palindrome (553434323434355).

The spelling of 223112310223033 in words is "two hundred twenty-three trillion, one hundred twelve billion, three hundred ten million, two hundred twenty-three thousand, thirty-three".

Divisors: 1 7 11 77 121 367 641 847 2569 4037 4487 7051 28259 44407 49357 77561 235247 310849 542927 1119737 1646729 2587717 7838159 12317107 18114019 28464887 86219749 135488177 199254209 410943479 717751417 948417239 2876604353 4520378269 5024259919 7895265587 31642647883 49724160959 55266859109 86847921457 263414770039 348069126713 607935450199 1843903390273 2897562470429 20282937293003 31873187174719 223112310223033