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32214300341223 = 37111337289928993
BaseRepresentation
bin1110101001100011110011…
…11011011011001111100111
311020001122201222102220020010
413110301321323123033213
513210244341341404343
6152303013440141303
76533256251630220
oct724617173331747
9136048658386203
1032214300341223
11a2a000a799060
123743420007833
1314c8a458bb850
147d5275256247
153ace7b8d8d33
hex1d4c79edb3e7

32214300341223 has 64 divisors (see below), whose sum is σ = 59229014326272. Its totient is φ = 15029918945280.

The previous prime is 32214300341203. The next prime is 32214300341261.

It is a happy number.

32214300341223 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 32214300341223 - 26 = 32214300341159 is a prime.

It is a super-2 number, since 2×322143003412232 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32214300341203) 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 63 ways as a sum of consecutive naturals, for example, 144853386 + ... + 145075607.

It is an arithmetic number, because the mean of its divisors is an integer number (925453348848).

Almost surely, 232214300341223 is an apocalyptic number.

32214300341223 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

32214300341223 is a deficient number, since it is larger than the sum of its proper divisors (27014713985049).

32214300341223 is a wasteful number, since it uses less digits than its factorization.

32214300341223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289929064.

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 32214300 and 341223, that added together give a palindrome (32555523).

The spelling of 32214300341223 in words is "thirty-two trillion, two hundred fourteen billion, three hundred million, three hundred forty-one thousand, two hundred twenty-three".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 289928993 869786979 2029502951 3189218923 3769076909 6088508853 9567656769 10727372741 11307230727 22324532461 26383538363 32182118223 41459845999 66973597383 75091609187 79150615089 118001100151 124379537997 139455845633 225274827561 290218921993 354003300453 418367536899 826007701057 870656765979 976190919431 1534014301963 2478023103171 2928572758293 4602042905889 10738100113741 32214300341223