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12300200220001 = 4310717315453037
BaseRepresentation
bin1011001011111101110100…
…0100001001010101100001
31121112212222002202100202011
42302333131010021111201
53103011302224020001
642054344534352521
72406442266536551
oct262773504112541
947485862670664
1012300200220001
113a125383a4381
121467a401bb741
136b2b99b51965
1430749355d161
15164e52e7dd51
hexb2fdd109561

12300200220001 has 16 divisors (see below), whose sum is σ = 12777313564224. Its totient is φ = 11833069598784.

The previous prime is 12300200219963. The next prime is 12300200220013. The reversal of 12300200220001 is 10002200200321.

12300200220001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12300200220001 - 27 = 12300200219873 is a prime.

It is a super-3 number, since 3×123002002200013 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12300200260001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6930546 + ... + 8522491.

It is an arithmetic number, because the mean of its divisors is an integer number (798582097764).

Almost surely, 212300200220001 is an apocalyptic number.

It is an amenable number.

12300200220001 is a deficient number, since it is larger than the sum of its proper divisors (477113344223).

12300200220001 is a wasteful number, since it uses less digits than its factorization.

12300200220001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15453360.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12300200220001 its reverse (10002200200321), we get a palindrome (22302400420322).

The spelling of 12300200220001 in words is "twelve trillion, three hundred billion, two hundred million, two hundred twenty thousand, one".

Divisors: 1 43 107 173 4601 7439 18511 795973 15453037 664480591 1653474959 2673375401 71099423237 114955142243 286051167907 12300200220001