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2213102312766 = 2322931267151203
BaseRepresentation
bin100000001101000111001…
…011010101110100111110
321211120101220102222122200
4200031013023111310332
5242224413143002031
64412403555052330
7315614511163452
oct40150713256476
97746356388580
102213102312766
11783631618544
122b8ab75a10a6
131309051c8627
1479186b30662
153c87b8638e6
hex203472d5d3e

2213102312766 has 96 divisors (see below), whose sum is σ = 5122431774720. Its totient is φ = 689015073600.

The previous prime is 2213102312647. The next prime is 2213102312791. The reversal of 2213102312766 is 6672132013122.

2213102312766 is a `hidden beast` number, since 2 + 21 + 310 + 2 + 312 + 7 + 6 + 6 = 666.

2213102312766 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2213102312766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43196521 + ... + 43247723.

It is an arithmetic number, because the mean of its divisors is an integer number (53358664320).

Almost surely, 22213102312766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213102312766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561215887360).

2213102312766 is an abundant number, since it is smaller than the sum of its proper divisors (2909329461954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2213102312766 is a wasteful number, since it uses less digits than its factorization.

2213102312766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53942 (or 53939 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 2213102312766 its reverse (6672132013122), we get a palindrome (8885234325888).

The spelling of 2213102312766 in words is "two trillion, two hundred thirteen billion, one hundred two million, three hundred twelve thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 9 18 29 31 58 62 87 93 174 186 261 279 522 558 899 1798 2671 2697 5342 5394 8013 8091 16026 16182 24039 48078 51203 77459 82801 102406 153609 154918 165602 232377 248403 307218 460827 464754 496806 697131 745209 921654 1394262 1484887 1490418 1587293 2401229 2969774 3174586 4454661 4761879 4802458 7203687 8909322 9523758 13363983 14285637 14407374 21611061 26727966 28571274 43222122 46031497 92062994 136763213 138094491 273526426 276188982 410289639 414283473 820579278 828566946 1230868917 2461737834 3966133177 4239659603 7932266354 8479319206 11898399531 12718978809 23796799062 25437957618 35695198593 38156936427 71390397186 76313872854 122950128487 245900256974 368850385461 737700770922 1106551156383 2213102312766