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221301102300312 = 23347296366212933
BaseRepresentation
bin110010010100010110101101…
…100101110100110010011000
31002000120011211022121200012210
4302110112231211310302120
5213001244124142102222
62102400153425235120
764420322421404466
oct6224265545646230
91060504738550183
10221301102300312
11645712a7a39071
12209a1777492aa0
1396637b1b44a48
143c9105d9a7836
151a8b8399d7d0c
hexc945ad974c98

221301102300312 has 64 divisors (see below), whose sum is σ = 565214792762880. Its totient is φ = 72173155286912.

The previous prime is 221301102300269. The next prime is 221301102300401. The reversal of 221301102300312 is 213003201103122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29764203 + ... + 36448730.

It is an arithmetic number, because the mean of its divisors is an integer number (8831481136920).

Almost surely, 2221301102300312 is an apocalyptic number.

It is an amenable number.

221301102300312 is an abundant number, since it is smaller than the sum of its proper divisors (343913690462568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221301102300312 is a wasteful number, since it uses less digits than its factorization.

221301102300312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66215952 (or 66215948 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 221301102300312 its reverse (213003201103122), we get a palindrome (434304303403434).

The spelling of 221301102300312 in words is "two hundred twenty-one trillion, three hundred one billion, one hundred two million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 2963 5926 8889 11852 17778 23704 35556 71112 139261 278522 417783 557044 835566 1114088 1671132 3342264 66212933 132425866 198638799 264851732 397277598 529703464 794555196 1589110392 3112007851 6224015702 9336023553 12448031404 18672047106 24896062808 37344094212 74688188424 196188920479 392377840958 588566761437 784755681916 1177133522874 1569511363832 2354267045748 4708534091496 9220879262513 18441758525026 27662637787539 36883517050052 55325275575078 73767034100104 110650551150156 221301102300312