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12205512355 = 517314632073
BaseRepresentation
bin10110101111000000…
…10101011010100011
31011111121211021022011
423113200111122203
5144444102343410
65335050253351
7611315100061
oct132740253243
934447737264
1012205512355
1151a376a0a3
122447727257
1311c68cbb7a
1483b037031
154b681818a
hex2d78156a3

12205512355 has 16 divisors (see below), whose sum is σ = 16008447744. Its totient is φ = 8893578240.

The previous prime is 12205512331. The next prime is 12205512383. The reversal of 12205512355 is 55321550221.

12205512355 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 12205512355 - 213 = 12205504163 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2313402 + ... + 2318671.

It is an arithmetic number, because the mean of its divisors is an integer number (1000527984).

Almost surely, 212205512355 is an apocalyptic number.

12205512355 is a deficient number, since it is larger than the sum of its proper divisors (3802935389).

12205512355 is a wasteful number, since it uses less digits than its factorization.

12205512355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632126.

The product of its (nonzero) digits is 15000, while the sum is 31.

The spelling of 12205512355 in words is "twelve billion, two hundred five million, five hundred twelve thousand, three hundred fifty-five".

Divisors: 1 5 17 31 85 155 527 2635 4632073 23160365 78745241 143594263 393726205 717971315 2441102471 12205512355