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213222203112 = 233172413536143
BaseRepresentation
bin1100011010010100001…
…0001001111011101000
3202101100211012012022210
43012211002021323220
511443134340444422
6241541455445120
721255562552062
oct3064502117350
9671324165283
10213222203112
1182477414096
12353a78267a0
13171507502b9
14a46a16c732
15582e16910c
hex31a5089ee8

213222203112 has 128 divisors (see below), whose sum is σ = 568451727360. Its totient is φ = 66416148480.

The previous prime is 213222203111. The next prime is 213222203113. The reversal of 213222203112 is 211302222312.

213222203112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213222203111) and next prime (213222203113).

It is not an unprimeable number, because it can be changed into a prime (213222203111) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 34706713 + ... + 34712855.

It is an arithmetic number, because the mean of its divisors is an integer number (4441029120).

Almost surely, 2213222203112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213222203112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284225863680).

213222203112 is an abundant number, since it is smaller than the sum of its proper divisors (355229524248).

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

213222203112 is a wasteful number, since it uses less digits than its factorization.

213222203112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6763 (or 6759 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213222203112 its reverse (211302222312), we get a palindrome (424524425424).

The spelling of 213222203112 in words is "two hundred thirteen billion, two hundred twenty-two million, two hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 241 353 408 482 706 723 964 1059 1412 1446 1928 2118 2824 2892 4097 4236 5784 6001 6143 8194 8472 12002 12286 12291 16388 18003 18429 24004 24572 24582 32776 36006 36858 48008 49144 49164 72012 73716 85073 98328 104431 144024 147432 170146 208862 255219 313293 340292 417724 510438 626586 680584 835448 1020876 1253172 1446241 1480463 2041752 2168479 2506344 2892482 2960926 4336958 4338723 4441389 5784964 5921852 6505437 8673916 8677446 8882778 11569928 11843704 13010874 17347832 17354892 17765556 25167871 26021748 34709784 35531112 36864143 50335742 52043496 73728286 75503613 100671484 110592429 147456572 151007226 201342968 221184858 294913144 302014452 442369716 522603439 604028904 884739432 1045206878 1567810317 2090413756 3135620634 4180827512 6271241268 8884258463 12542482536 17768516926 26652775389 35537033852 53305550778 71074067704 106611101556 213222203112