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2212132010301 = 32539774746769
BaseRepresentation
bin100000001100001101010…
…101111011100100111101
321211110220021122111220100
4200030031111323210331
5242220421243312201
64412123414111313
7315551456561343
oct40141525734475
97743807574810
102212132010301
11783183938984
122b888664b539
131307ac188865
14790d3d13993
153c82159b886
hex2030d57b93d

2212132010301 has 24 divisors (see below), whose sum is σ = 3258923424120. Its totient is φ = 1445447817216.

The previous prime is 2212132010293. The next prime is 2212132010351. The reversal of 2212132010301 is 1030102312122.

2212132010301 is a `hidden beast` number, since 2 + 21 + 21 + 320 + 1 + 0 + 301 = 666.

2212132010301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1391866691076 + 820265319225 = 1179774^2 + 905685^2 .

It is not a de Polignac number, because 2212132010301 - 23 = 2212132010293 is a prime.

It is a super-2 number, since 2×22121320103012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212132010351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1907356 + ... + 2839413.

It is an arithmetic number, because the mean of its divisors is an integer number (135788476005).

Almost surely, 22212132010301 is an apocalyptic number.

It is an amenable number.

2212132010301 is a deficient number, since it is larger than the sum of its proper divisors (1046791413819).

2212132010301 is a wasteful number, since it uses less digits than its factorization.

2212132010301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4747805 (or 4747802 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2212132010301 its reverse (1030102312122), we get a palindrome (3242234322423).

The spelling of 2212132010301 in words is "two trillion, two hundred twelve billion, one hundred thirty-two million, ten thousand, three hundred one".

Divisors: 1 3 9 53 159 477 977 2931 8793 51781 155343 466029 4746769 14240307 42720921 251578757 754736271 2264208813 4637593313 13912779939 41738339817 245792445589 737377336767 2212132010301