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12300211303101 = 322370489842987
BaseRepresentation
bin1011001011111101110110…
…1110011011001010111101
31121112212222212121102220100
42302333131232123022331
53103011313043144401
642054350012111313
72406442463000031
oct262773556331275
947485885542810
1012300211303101
113a12543684267
121467a43a65539
136b2b9c2324c7
14307494c061c1
15164e53e1cb86
hexb2fddb9b2bd

12300211303101 has 24 divisors (see below), whose sum is σ = 18539733925440. Its totient is φ = 7843492426176.

The previous prime is 12300211303057. The next prime is 12300211303109. The reversal of 12300211303101 is 10130311200321.

12300211303101 is a `hidden beast` number, since 1 + 2 + 300 + 21 + 1 + 30 + 310 + 1 = 666.

It is not a de Polignac number, because 12300211303101 - 219 = 12300210778813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300211303109) 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 23 ways as a sum of consecutive naturals, for example, 14169730 + ... + 15012716.

It is an arithmetic number, because the mean of its divisors is an integer number (772488913560).

Almost surely, 212300211303101 is an apocalyptic number.

It is an amenable number.

12300211303101 is a deficient number, since it is larger than the sum of its proper divisors (6239522622339).

12300211303101 is a wasteful number, since it uses less digits than its factorization.

12300211303101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913505 (or 913502 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12300211303101 its reverse (10130311200321), we get a palindrome (22430522503422).

The spelling of 12300211303101 in words is "twelve trillion, three hundred billion, two hundred eleven million, three hundred three thousand, one hundred one".

Divisors: 1 3 9 23 69 207 70489 211467 634401 842987 1621247 2528961 4863741 7586883 14591223 19388701 58166103 174498309 59421310643 178263931929 534791795787 1366690144789 4100070434367 12300211303101