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212323133211029 = 17277160692805949
BaseRepresentation
bin110000010001101101010100…
…111011101100000110010101
31000211202220010012212001212122
4300101231110323230012111
5210312200234100223104
62031323522325425325
762502561113315501
oct6021552473540625
91024686105761778
10212323133211029
116171a80a499275
121b99178b86b245
139161ca733a6c9
143a606ccbcb301
15198302a4e36be
hexc11b54eec195

212323133211029 has 16 divisors (see below), whose sum is σ = 225638448966000. Its totient is φ = 199099654401024.

The previous prime is 212323133210989. The next prime is 212323133211037. The reversal of 212323133211029 is 920112331323212.

It can be written as a sum of positive squares in 8 ways, for example, as 10440666364804 + 201882466846225 = 3231202^2 + 14208535^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-212323133211029 is a prime.

It is a super-2 number, since 2×2123231332110292 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212323133211029.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212323133211229) by changing a digit.

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, 74265947 + ... + 77071895.

It is an arithmetic number, because the mean of its divisors is an integer number (14102403060375).

Almost surely, 2212323133211029 is an apocalyptic number.

It is an amenable number.

212323133211029 is a deficient number, since it is larger than the sum of its proper divisors (13315315754971).

212323133211029 is a wasteful number, since it uses less digits than its factorization.

212323133211029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822312.

The product of its (nonzero) digits is 23328, while the sum is 35.

The spelling of 212323133211029 in words is "two hundred twelve trillion, three hundred twenty-three billion, one hundred thirty-three million, two hundred eleven thousand, twenty-nine".

Divisors: 1 17 277 4709 16069 273173 2805949 4451113 47701133 75668921 777247873 13213213841 45088794481 766509506177 12489596071237 212323133211029